Robert Hermann - Author Profile

Edit Profile

Hermann, Robert

Author ID:	hermann.robert
Published as:	Hermann, Robert; Hermann, R.
External Links:	MGP · Wikidata · GND · IdRef

Documents Indexed:	142 Publications since 1954, including 41 Books
	3 Contributions as Editor · 11 Further Contributions
Biographic References:	1 Publication
Co-Authors:	6 Co-Authors with 14 Joint Publications
	232 Co-Co-Authors

all top 5

Co-Authors

134	single-authored
9	Martin, Clyde Franklin
2	Krener, Arthur James
2	Wallach, Nolan Russell
1	Ackerman, Michael
1	Arkhangel’skiĭ, Aleksandr Vladimirovich
1	Ball, Billy Joe
1	Benabou, Jean
1	Caines, Peter Edwin
1	Cartan, Élie
1	Dow, Alan S.
1	Ehresmann, Andree Charles
1	Ehresmann, Charles
1	Estabrook, Frank B.
1	Gibson, Richard G. jun.
1	Guitart, René
1	Haefliger, André
1	Haver, William E.
1	Hilbert, David
1	Hurt, Norman E.
1	Keesling, James Edgar
1	Kock, Anders Jungersen
1	Libermann, Paulette
1	Nyikos, Peter J.
1	Oberguggenberger, Michael B.
1	Perko, Kenneth A. jun.
1	Reeb, Georges H.
1	Rhee, Choon Jai
1	Rubin, Leonard Roy
1	Thom, René
1	van Douwen, Eric K.
1	van Est, William T.
1	Wahlquist, Hugo D.
1	Yokura, Shoji
1	Zisman, Fm.

all top 5

Serials

31	Interdisciplinary Mathematics
14	Journal of Mathematical Physics
10	Journal of Mathematics and Mechanics
7	Communications in Mathematical Physics
7	Bulletin of the American Mathematical Society
6	Acta Applicandae Mathematicae
4	Mathematische Annalen
4	Proceedings of the American Mathematical Society
4	Mathematics Lecture Note Series
3	Mathematical Systems Theory
3	Transactions of the American Mathematical Society
3	Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris
3	Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae
2	IEEE Transactions on Automatic Control
2	Illinois Journal of Mathematics
2	Journal of Differential Geometry
2	Physical Review, II. Series
1	International Journal of Theoretical Physics
1	The Mathematical Intelligencer
1	Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
1	Commentarii Mathematici Helvetici
1	Rendiconti del Circolo Matemàtico di Palermo. Serie II
1	SIAM Journal on Control and Optimization
1	Systems & Control Letters
1	Proceedings of the National Academy of Sciences of the United States of America
1	Topology Proceedings
1	Annals of Mathematics. Second Series
1	Lie Groups: History, Frontiers and Applications. Series A
1	Lie Groups: History, Frontiers and Applications. Series B. Systems Information and Control
1	Mathematics in Science and Engineering
1	Pure and Applied Mathematics, Marcel Dekker
1	Dover Books on Mathematics

all top 5

Fields

30	Global analysis, analysis on manifolds (58-XX)
29	Differential geometry (53-XX)
29	Systems theory; control (93-XX)
20	Topological groups, Lie groups (22-XX)
17	General and overarching topics; collections (00-XX)
16	Partial differential equations (35-XX)
16	Quantum theory (81-XX)
13	Dynamical systems and ergodic theory (37-XX)
11	Mechanics of particles and systems (70-XX)
10	Ordinary differential equations (34-XX)
9	Calculus of variations and optimal control; optimization (49-XX)
8	Nonassociative rings and algebras (17-XX)
8	Manifolds and cell complexes (57-XX)
6	Algebraic geometry (14-XX)
6	Abstract harmonic analysis (43-XX)
6	Operator theory (47-XX)
4	History and biography (01-XX)
4	Linear and multilinear algebra; matrix theory (15-XX)
4	Functional analysis (46-XX)
3	Relativity and gravitational theory (83-XX)
2	Group theory and generalizations (20-XX)
2	Algebraic topology (55-XX)
2	Numerical analysis (65-XX)
2	Computer science (68-XX)
2	Optics, electromagnetic theory (78-XX)
2	Statistical mechanics, structure of matter (82-XX)
1	Mathematical logic and foundations (03-XX)
1	General algebraic systems (08-XX)
1	Commutative algebra (13-XX)
1	Associative rings and algebras (16-XX)
1	Several complex variables and analytic spaces (32-XX)
1	Special functions (33-XX)
1	Approximations and expansions (41-XX)
1	Integral transforms, operational calculus (44-XX)
1	Integral equations (45-XX)
1	General topology (54-XX)
1	Probability theory and stochastic processes (60-XX)
1	Fluid mechanics (76-XX)
1	Operations research, mathematical programming (90-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

118 Publications have been cited 1,325 times in 1,116 Documents	Cited by ▼	Year ▼
Nonlinear controllability and observability. Zbl 0396.93015 Hermann, Robert; Krener, Arthur J.	334	1977
Differential geometry and the calculus of variations. Zbl 0219.49023 Hermann, R.	83	1968
A sufficient condition that a mapping of Riemannian manifolds be a fibre bundle. Zbl 0112.13701 Hermann, R.	80	1960
Geometry, physics, and systems. Zbl 0285.58001 Hermann, Robert	78	1973
Lie groups for physicists. Zbl 0135.06901 Hermann, R.	73	1966
Applications of algebraic geometry to systems theory: the McMillan degree and Kronecker indices of transfer functions as topological and holomorphic system invariants. Zbl 0401.93020 Martin, Clyde; Hermann, Robert	49	1978
On the differential geometry of foliations. Zbl 0196.54204 Hermann, R.	38	1960
Applications of algebraic geometry to systems theory. I. Zbl 0355.93013 Hermann, Robert; Martin, Clyde F.	34	1977
On the accessibility problem in control theory. Zbl 0142.36102 Hermann, R.	34	1963
The differential geometry of foliations. II. Zbl 0152.20502 Hermann, R.	31	1962
Symplectic geometry and Fourier analysis. With an appendix on quantum mechanics by Robert Hermann. Zbl 0379.53010 Wallach, Nolan R.	26	1977
The formal linearization of a semisimple Lie algebra of vector fields about a singular point. Zbl 0155.05604 Hermann, R.	25	1968
Vector bundles in mathematical physics. Vol. I, II: Applications to quantum mechanics. Zbl 0213.23603 Hermann, R.	24	1970
Sophus Lie’s 1880 transformation group paper. Translated by Michael Ackerman. Comments by Robert Hermann. Zbl 0321.57027	20	1975
Differential geometry and the calculus of variations. 2nd ed. Zbl 0371.49001 Hermann, Robert	19	1977
Gauge fields and Cartan-Ehresmann connections. Part A. Zbl 0314.53039 Hermann, Robert	19	1975
Geometry of Riemannian spaces. Transl. from the French by James Glazebrook. Notes and appendices by R. Hermann. Zbl 0603.53001 Cartan, Elie	18	1983
Analytic continuation of group representations. I - III. Zbl 0139.41905 Hermann, Robert	18	1966
Oeuvres complètes et commentées. Topologie algébrique et géométrie différentielle. Parties I-1 et I-2. Éd. par Andrée Charles Ehresmann. Zbl 0561.01027 Ehresmann, Charles	16	1983
The theory of equivalence of Pfaffian systems and input systems under feedback. Zbl 0544.93029 Hermann, Robert	15	1982
Variational completeness for compact symmetric spaces. Zbl 0098.36603 Hermann, Robert	15	1960
Convexity and pseudoconvexity for complex manifolds. Zbl 0123.38705 Hermann, Robert	14	1964
Lie and Morse theory for periodic orbits of vector fields and matrix Riccati equations. II. Zbl 0527.58033 Hermann, Robert; Martin, Clyde	13	1983
The Gell-Mann formula for representations of semisimple groups. Zbl 0138.43804 Hermann, R.	13	1966
Ordinary differential equations and generalized functions. Zbl 0941.46026 Hermann, Robert; Oberguggenberger, Michael	12	1999
The geometry of non-linear differential equations, Bäcklund transformations, and solutions. Part A. Zbl 0367.35001 Hermann, Robert	11	1976
Lie algebras and quantum mechanics. Zbl 0206.26901 Hermann, R.	11	1970
Some differential geometric aspects of the Lagrange variational problem. Zbl 0196.54301 Hermann, R.	10	1962
Secondary obstructions for fibre spaces. Zbl 0101.15904 Hermann, Robert	9	1959
Focal points of closed submanifolds of Riemannian spaces. Zbl 0117.38702 Hermann, R.	9	1963
Analytic continuation of group representations. VI. Zbl 0179.30104 Hermann, Robert	9	1967
Compact homogeneous almost complex spaces of positive characteristic. Zbl 0073.18404 Hermann, Robert	9	1956
Yang-Mills, Kaluza-Klein, and the Einstein program. With contributions by Frank Estabrook and Hugo Wahlquist. Zbl 0392.53040 Hermann, Robert	8	1978
Lie groups: history, frontiers and applications. Vol. VIII. Hilbert’s invariant theory papers. Translated by M. Ackerman. Comments by R. Hermann. Zbl 0405.22001 Hilbert, D.	8	1978
Algebro-geometric and Lie-theoretic techniques in systems theory. Part A. Zbl 0362.93002 Hermann, Robert; Martin, Clyde	8	1977
Lie and Morse theory for periodic orbits of vector fields and matrix Riccati equations. I: General Lie-theoretic methods. Zbl 0508.58034 Hermann, Robert; Martin, Clyde	8	1982
Geodesics of singular Riemannian metrics. Zbl 0269.53020 Hermann, Robert	8	1973
Geodesics and classical mechanics on Lie groups. Zbl 0235.53026 Hermann, Robert	8	1972
Analytic continuation of group representations. IV. Zbl 0144.46105 Hermann, R.	7	1967
Sophus Lie’s 1884 differential invariant paper. Translated by M. Ackerman. Comments and additional material by Robert Hermann. Zbl 0328.57015	6	1976
Geometric aspects of potential theory in the symmetric bounded domains. II. Zbl 0113.31003 Hermann, R.	6	1963
Totally geodesic orbits of groups of isometries. Zbl 0124.14502 Hermann, R.	6	1962
Differential form methods in the theory of variational systems and Lagrangian field theories. Zbl 0664.49018 Hermann, Robert	6	1988
Quantum and fermion differential geometry. Part A. Zbl 0367.53018 Hermann, Robert	5	1977
The differential geometric structure of general mechanical systems from the Lagrangian point of view. Zbl 0522.70019 Hermann, Robert	5	1982
Invariants for feedback equivalence and Cauchy characteristic multifoliations of nonlinear control systems. Zbl 0646.93030 Hermann, Robert	5	1988
The second variation for minimal submanifolds. Zbl 0142.09104 Hermann, R.	5	1966
Geometric aspects of potential theory in the bounded symmetric domains. Zbl 0108.28603 Hermann, R.	5	1962
Current algebras, the Sugawara model, and differential geometry. Zbl 0194.29201 Hermann, R.	5	1970
Geometric structure theory of systems-control theory and physics. Part A. Zbl 0322.93001 Hermann, Robert	5	1974
Cartanian geometry, nonlinear waves, and control theory. Part A. Zbl 0403.93001 Hermann, Robert	4	1979
Spinors, Clifford and Cayley algebras. Zbl 0299.00006 Hermann, Robert	4	1974
Infeld-Hull factorization, Galois-Picard-Vessiot theory for differential operators. Zbl 0467.34021 Hermann, Robert	4	1981
Ricci and Levi-Civita’s tensor analysis paper. Translation, comments and additional material by Robert Hermann. Zbl 0326.53002	4	1975
Geoesics of bounded, symmetric domains. Zbl 0107.39102 Hermann, R.	4	1961
Certain connections and the equivalence problem for geometric structures. Zbl 0141.38602 Hermann, R.	4	1964
Compactification of homogeneous spaces. I. Zbl 0141.19604 Hermann, R.	4	1965
Homogeneous Riemannian manifolds of non-positive sectional curvature. Zbl 0114.13404 Hermann, R.	4	1963
A Poisson kernel for certain homogeneous spaces. Zbl 0123.08002 Hermann, Robert	4	1961
Convexity and pseudoconvexity for complex manifolds. II. Zbl 0134.40102 Hermann, R.	4	1964
Fourier analysis on groups and partial wave analysis. Zbl 0192.61602 Hermann, Robert	4	1969
Perturbation and linearization of nonlinear control systems. Zbl 0595.93026 Hermann, Robert	4	1984
Nonlinear feedback control and systems of partial differential equations. Zbl 0681.58005 Hermann, Robert	3	1989
Quantum statistical mechanics and Lie group harmonic analysis. Part A. Zbl 0439.22011 Hurt, Norman; Hermann, Robert	3	1980
The geometric theory of deformation and linearization of Pfaffian systems and its applications to system theory and mathematical physics. Zbl 0531.58002 Hermann, Robert	3	1983
Formal linearization of vector fields and related cohomology. I, II. Zbl 0283.22011 Hermann, Robert	3	1973
Linear systems theory and introductory algebraic geometry. Zbl 0299.00009 Hermann, Robert	3	1974
Some remarks on the geometry of systems. Zbl 0299.93002 Hermann, Robert	3	1973
Spectrum generating algebras and symmetries in mechanics. I. Zbl 0246.22019 Hermann, Robert	3	1972
Obstruction theory for fibre spaces. Zbl 0109.15802 Hermann, R.	3	1960
On the existence of a fundamental domain for Riemannian transformation groups. Zbl 0121.16701 Hermann, R.	3	1962
Analytic continuation of group representations. V. Zbl 0145.44405 Hermann, R.	3	1967
The second variation for variational problems in canonical form. Zbl 0141.10702 Hermann, R.	3	1965
Group representations and creation operators. Zbl 0171.24001 Hermann, Robert	3	1966
Geometric construction and properties of some families of solutions of nonlinear partial differential equations. I. Zbl 0521.58063 Hermann, Robert	3	1983
Compactifications of homogeneous spaces and contractions of Lie groups. Zbl 0156.42302 Hermann, R.	3	1964
Geometric formula for current-algebra commutation relations. Zbl 0179.30202 Hermann, Robert	3	1969
Lectures in mathematical physics. Vol. 1. Zbl 0206.26501 Hermann, R.	3	1970
Perturbation theory for nonlinear feedback control systems and Spencer- Goldschmidt integrability of linear partial differential equations. Zbl 0704.93035 Hermann, Robert	2	1990
Toda lattices, cosymplectic manifolds, Bäcklund transformations and kinks. Part A. Zbl 0381.35001 Hermann, Robert	2	1977
Topics in general relativity. Differential geometric methods and ideas in physics and engineering. Part II. Zbl 0286.00002 Hermann, Robert	2	1973
Topics in the mathematics of quantum mechanics. Differential geometric methods and ideas in physics and engineering. Part III. Zbl 0287.00004 Hermann, Robert	2	1973
Topics in the geometric theory of integrable mechanical systems. Zbl 0576.58014 Hermann, Robert	2	1984
Existence in the large of totally geodesic submanifolds of riemannian spaces. Zbl 0093.35202 Hermann, Robert	2	1960
On geodesics that are also orbits. Zbl 0107.39101 Hermann, R.	2	1960
Remarks on the foundations of integral geometry. Zbl 0098.35802 Hermann, Robert	2	1960
Geometric aspects of potential theory in symmetric spaces. III. Zbl 0119.09001 Hermann, R.	2	1964
A uniqueness theorem for minimal submanifolds. Zbl 0175.19002 Hermann, R.	2	1968
Differential equations of the matrix elements of the degenerate series. Zbl 0208.15601 Hermann, R.	2	1967
Lectures in mathematical physics. Vol. II. Zbl 0228.00002 Hermann, Robert	2	1972
Sur les isométries infinitésimales et le groupe d’holonomie d’un espace de Riemann. Zbl 0056.41103 Hermann, Robert	2	1954
Sur les automorphismes infinitésimaux d’une \(G\)-structure. Zbl 0058.16003 Hermann, Robert	2	1954
Une remarque sur les jets d’ordre infinis. Zbl 0068.36502 Hermann, Robert	2	1955
Topics in the geometric theory of linear systems. Zbl 0599.93001 Hermann, Robert	2	1984
The geometric foundations of the integrability property of differential equations and physical systems. I: Lie’s ”function groups”. Zbl 0524.58023 Hermann, Robert	2	1983
Applications of algebraic geometry to systems theory, part V: Ramifications of the Macmillan degree. Zbl 0406.93015 Hermann, Robert; Martin, Clyde	1	1977
Toda lattices, cosymplectic manifolds, Bäcklund transformations and kinks. Part B. Zbl 0381.35002 Hermann, Robert	1	1977
Fiber spaces, connections and Yang-Mills fields. Zbl 0528.53054 Hermann, Robert	1	1982
General algebraic ideas. Algebra, with applications to physics and systems theory. Part I. Zbl 0277.00006 Hermann, Robert	1	1973
Linear and tensor algebra. Algebra, with applications to physics and systems theory. Part II. Zbl 0277.00007 Hermann, Robert	1	1973
Ordinary differential equations and generalized functions. Zbl 0941.46026 Hermann, Robert; Oberguggenberger, Michael	12	1999
C-O-R generalized functions, current algebras, and control. Zbl 1454.46003 Hermann, Robert	1	1994
Perturbation theory for nonlinear feedback control systems and Spencer- Goldschmidt integrability of linear partial differential equations. Zbl 0704.93035 Hermann, Robert	2	1990
Nonlinear feedback control and systems of partial differential equations. Zbl 0681.58005 Hermann, Robert	3	1989
Differential form methods in the theory of variational systems and Lagrangian field theories. Zbl 0664.49018 Hermann, Robert	6	1988
Invariants for feedback equivalence and Cauchy characteristic multifoliations of nonlinear control systems. Zbl 0646.93030 Hermann, Robert	5	1988
Mathematics and Bourbaki. Zbl 0579.01008 Hermann, Robert	1	1986
Perturbation and linearization of nonlinear control systems. Zbl 0595.93026 Hermann, Robert	4	1984
Topics in the geometric theory of integrable mechanical systems. Zbl 0576.58014 Hermann, Robert	2	1984
Topics in the geometric theory of linear systems. Zbl 0599.93001 Hermann, Robert	2	1984
The geometric foundations of the integrability property of differential equations and physical systems. II: Mechanics on affinely-connected manifolds and the work of Kowalewski and Painlevé. Zbl 0554.58032 Hermann, Robert	1	1984
Geometry of Riemannian spaces. Transl. from the French by James Glazebrook. Notes and appendices by R. Hermann. Zbl 0603.53001 Cartan, Elie	18	1983
Oeuvres complètes et commentées. Topologie algébrique et géométrie différentielle. Parties I-1 et I-2. Éd. par Andrée Charles Ehresmann. Zbl 0561.01027 Ehresmann, Charles	16	1983
Lie and Morse theory for periodic orbits of vector fields and matrix Riccati equations. II. Zbl 0527.58033 Hermann, Robert; Martin, Clyde	13	1983
The geometric theory of deformation and linearization of Pfaffian systems and its applications to system theory and mathematical physics. Zbl 0531.58002 Hermann, Robert	3	1983
Geometric construction and properties of some families of solutions of nonlinear partial differential equations. I. Zbl 0521.58063 Hermann, Robert	3	1983
The geometric foundations of the integrability property of differential equations and physical systems. I: Lie’s ”function groups”. Zbl 0524.58023 Hermann, Robert	2	1983
The theory of equivalence of Pfaffian systems and input systems under feedback. Zbl 0544.93029 Hermann, Robert	15	1982
Lie and Morse theory for periodic orbits of vector fields and matrix Riccati equations. I: General Lie-theoretic methods. Zbl 0508.58034 Hermann, Robert; Martin, Clyde	8	1982
The differential geometric structure of general mechanical systems from the Lagrangian point of view. Zbl 0522.70019 Hermann, Robert	5	1982
Fiber spaces, connections and Yang-Mills fields. Zbl 0528.53054 Hermann, Robert	1	1982
Quantum mechanics and geometric analysis on manifolds. Zbl 0506.58017 Hermann, Robert	1	1982
Problem section. Zbl 0516.54001	1	1982
Infeld-Hull factorization, Galois-Picard-Vessiot theory for differential operators. Zbl 0467.34021 Hermann, Robert	4	1981
Algebraic and geometric structure of linear filters and scattering systems. I. Zbl 0483.93007 Hermann, Robert	1	1981
Linear systems and the differential field of Heaviside operators. Zbl 0473.93036 Hermann, R.	1	1981
Quantum statistical mechanics and Lie group harmonic analysis. Part A. Zbl 0439.22011 Hurt, Norman; Hermann, Robert	3	1980
Cartanian geometry, nonlinear waves, and control theory. Part B. Zbl 0478.93001 Hermann, Robert	1	1980
Cartanian geometry, nonlinear waves, and control theory. Part A. Zbl 0403.93001 Hermann, Robert	4	1979
Applications of algebraic geometry to systems theory: the McMillan degree and Kronecker indices of transfer functions as topological and holomorphic system invariants. Zbl 0401.93020 Martin, Clyde; Hermann, Robert	49	1978
Yang-Mills, Kaluza-Klein, and the Einstein program. With contributions by Frank Estabrook and Hugo Wahlquist. Zbl 0392.53040 Hermann, Robert	8	1978
Lie groups: history, frontiers and applications. Vol. VIII. Hilbert’s invariant theory papers. Translated by M. Ackerman. Comments by R. Hermann. Zbl 0405.22001 Hilbert, D.	8	1978
Nonlinear controllability and observability. Zbl 0396.93015 Hermann, Robert; Krener, Arthur J.	334	1977
Applications of algebraic geometry to systems theory. I. Zbl 0355.93013 Hermann, Robert; Martin, Clyde F.	34	1977
Symplectic geometry and Fourier analysis. With an appendix on quantum mechanics by Robert Hermann. Zbl 0379.53010 Wallach, Nolan R.	26	1977
Differential geometry and the calculus of variations. 2nd ed. Zbl 0371.49001 Hermann, Robert	19	1977
Algebro-geometric and Lie-theoretic techniques in systems theory. Part A. Zbl 0362.93002 Hermann, Robert; Martin, Clyde	8	1977
Quantum and fermion differential geometry. Part A. Zbl 0367.53018 Hermann, Robert	5	1977
Toda lattices, cosymplectic manifolds, Bäcklund transformations and kinks. Part A. Zbl 0381.35001 Hermann, Robert	2	1977
Applications of algebraic geometry to systems theory, part V: Ramifications of the Macmillan degree. Zbl 0406.93015 Hermann, Robert; Martin, Clyde	1	1977
Toda lattices, cosymplectic manifolds, Bäcklund transformations and kinks. Part B. Zbl 0381.35002 Hermann, Robert	1	1977
The 1976 Ames Research Center (NASA) conference on geometric control theory. Zbl 0357.00018	1	1977
The geometry of non-linear differential equations, Bäcklund transformations, and solutions. Part A. Zbl 0367.35001 Hermann, Robert	11	1976
Sophus Lie’s 1884 differential invariant paper. Translated by M. Ackerman. Comments and additional material by Robert Hermann. Zbl 0328.57015	6	1976
Geometric structure of systems-control theory and physics. Part B. Zbl 0472.49002 Hermann, Robert	1	1976
Geometric structure of systems-control theory and physics. Part B. Zbl 0469.00015 Hermann, Robert	1	1976
Sophus Lie’s 1880 transformation group paper. Translated by Michael Ackerman. Comments by Robert Hermann. Zbl 0321.57027	20	1975
Gauge fields and Cartan-Ehresmann connections. Part A. Zbl 0314.53039 Hermann, Robert	19	1975
Ricci and Levi-Civita’s tensor analysis paper. Translation, comments and additional material by Robert Hermann. Zbl 0326.53002	4	1975
Geometric structure theory of systems-control theory and physics. Part A. Zbl 0322.93001 Hermann, Robert	5	1974
Spinors, Clifford and Cayley algebras. Zbl 0299.00006 Hermann, Robert	4	1974
Linear systems theory and introductory algebraic geometry. Zbl 0299.00009 Hermann, Robert	3	1974
Physical aspects of Lie group theory. Zbl 0331.22001 Hermann, Robert	1	1974
Geometry, physics, and systems. Zbl 0285.58001 Hermann, Robert	78	1973
Geodesics of singular Riemannian metrics. Zbl 0269.53020 Hermann, Robert	8	1973
Formal linearization of vector fields and related cohomology. I, II. Zbl 0283.22011 Hermann, Robert	3	1973
Some remarks on the geometry of systems. Zbl 0299.93002 Hermann, Robert	3	1973
Topics in general relativity. Differential geometric methods and ideas in physics and engineering. Part II. Zbl 0286.00002 Hermann, Robert	2	1973
Topics in the mathematics of quantum mechanics. Differential geometric methods and ideas in physics and engineering. Part III. Zbl 0287.00004 Hermann, Robert	2	1973
General algebraic ideas. Algebra, with applications to physics and systems theory. Part I. Zbl 0277.00006 Hermann, Robert	1	1973
Linear and tensor algebra. Algebra, with applications to physics and systems theory. Part II. Zbl 0277.00007 Hermann, Robert	1	1973
Geodesics and classical mechanics on Lie groups. Zbl 0235.53026 Hermann, Robert	8	1972
Spectrum generating algebras and symmetries in mechanics. I. Zbl 0246.22019 Hermann, Robert	3	1972
Lectures in mathematical physics. Vol. II. Zbl 0228.00002 Hermann, Robert	2	1972
Vector bundles in mathematical physics. Vol. I, II: Applications to quantum mechanics. Zbl 0213.23603 Hermann, R.	24	1970
Lie algebras and quantum mechanics. Zbl 0206.26901 Hermann, R.	11	1970
Current algebras, the Sugawara model, and differential geometry. Zbl 0194.29201 Hermann, R.	5	1970
Lectures in mathematical physics. Vol. 1. Zbl 0206.26501 Hermann, R.	3	1970
Fourier analysis on groups and partial wave analysis. Zbl 0192.61602 Hermann, Robert	4	1969
Geometric formula for current-algebra commutation relations. Zbl 0179.30202 Hermann, Robert	3	1969
Quantum field theories with degenerate Lagrangians. Zbl 0179.30201 Hermann, Robert	1	1969
Differential geometry and the calculus of variations. Zbl 0219.49023 Hermann, R.	83	1968
The formal linearization of a semisimple Lie algebra of vector fields about a singular point. Zbl 0155.05604 Hermann, R.	25	1968
A uniqueness theorem for minimal submanifolds. Zbl 0175.19002 Hermann, R.	2	1968
Analytic continuation of group representations. VI. Zbl 0179.30104 Hermann, Robert	9	1967
Analytic continuation of group representations. IV. Zbl 0144.46105 Hermann, R.	7	1967
Analytic continuation of group representations. V. Zbl 0145.44405 Hermann, R.	3	1967
Differential equations of the matrix elements of the degenerate series. Zbl 0208.15601 Hermann, R.	2	1967
Lie groups for physicists. Zbl 0135.06901 Hermann, R.	73	1966
Analytic continuation of group representations. I - III. Zbl 0139.41905 Hermann, Robert	18	1966
The Gell-Mann formula for representations of semisimple groups. Zbl 0138.43804 Hermann, R.	13	1966
The second variation for minimal submanifolds. Zbl 0142.09104 Hermann, R.	5	1966
Group representations and creation operators. Zbl 0171.24001 Hermann, Robert	3	1966
Compactification of homogeneous spaces. I. Zbl 0141.19604 Hermann, R.	4	1965
The second variation for variational problems in canonical form. Zbl 0141.10702 Hermann, R.	3	1965
Equivalence invariants for submanifolds of homogeneous spaces. Zbl 0125.39502 Hermann, R.	1	1965
Convexity and pseudoconvexity for complex manifolds. Zbl 0123.38705 Hermann, Robert	14	1964
Certain connections and the equivalence problem for geometric structures. Zbl 0141.38602 Hermann, R.	4	1964
Convexity and pseudoconvexity for complex manifolds. II. Zbl 0134.40102 Hermann, R.	4	1964
Compactifications of homogeneous spaces and contractions of Lie groups. Zbl 0156.42302 Hermann, R.	3	1964
Geometric aspects of potential theory in symmetric spaces. III. Zbl 0119.09001 Hermann, R.	2	1964
Spherical compact hypersurfaces. Zbl 0116.38701 Hermann, R.	1	1964
An incomplete compact homogeneous Lorentz metric. Zbl 0136.18404 Hermann, R.	1	1964
On the accessibility problem in control theory. Zbl 0142.36102 Hermann, R.	34	1963
Focal points of closed submanifolds of Riemannian spaces. Zbl 0117.38702 Hermann, R.	9	1963
Geometric aspects of potential theory in the symmetric bounded domains. II. Zbl 0113.31003 Hermann, R.	6	1963
Homogeneous Riemannian manifolds of non-positive sectional curvature. Zbl 0114.13404 Hermann, R.	4	1963
Existence in the large of parallelism homomorphism. Zbl 0116.39201 Hermann, R.	1	1963
The differential geometry of foliations. II. Zbl 0152.20502 Hermann, R.	31	1962
Some differential geometric aspects of the Lagrange variational problem. Zbl 0196.54301 Hermann, R.	10	1962
...and 18 more Documents

all cited Publications top 5 cited Publications

all top 5

Cited by 1,430 Authors

40	Hermann, Robert
14	Letellier, Christophe
12	Barbot, Jean-Pierre
11	Chappell, Michael J.
10	Godfrey, Keith R.
10	Karcanias, Nicos
10	Quevedo, Hernando
10	van der Schaft, Arjan J.
8	Hammouri, Hassan
8	Krupka, Demeter
8	Martin, Clyde Franklin
8	Schumacher, Johannes M.
7	Aguirre, Luis Antonio
7	Byrnes, Christopher Ian
7	Chapman, Michael John
6	Bartosiewicz, Zbigniew
6	Besançon, Gildas
6	Evans, Neil D.
6	Krishnaprasad, P.s.
6	Maschke, Bernhard M.
6	Narmanov, Abdigappar Yakubovich
6	Šijački, Djordje
6	Tornambè, Antonio
5	Casti, John L.
5	Fliess, Michel
5	Gaeta, Giuseppe
5	Gauthier, Jean-Paul A.
5	Isidori, Alberto
5	Leventides, John
5	Perruquetti, Wilfrid
5	Rosenthal, Joachim
5	Salom, Igor
5	Shadwick, William F.
5	Xia, Xiaohua
4	Batista, Pedro
4	Boutat, Driss
4	Chrastinová, Veronika
4	Djemai, Mohamed
4	Elliott, David LeRoy
4	Floquet, Thierry
4	Giannakopoulos, Christos
4	Grmela, Miroslav
4	Grong, Erlend
4	Guijarro, Luis
4	Hermes, Henry
4	Kalouptsidis, Nicholas
4	Konstantinov, Mikhail Mikhajlov
4	Mangiarotti, Sylvain
4	Modugno, Marco
4	Oliveira, Paulo Jorge
4	Petkov, Petko Hr.
4	Silvestre, Carlos J.
4	Sternberg, Shlomo
4	Tryhuk, Václav
3	Aldaya, Victor
3	Anguelova, Milena
3	Berestovskiĭ, Valeriĭ Nikolaevich
3	Bonnard, Bernard
3	Bornard, Guy
3	Bravetti, Alessandro
3	Cahen, Benjamin
3	Canarutto, Daniel
3	Cerveau, Dominique
3	Cevik, M. K. K.
3	Cheng, Daizhan
3	Conlon, Lawrence
3	Coron, Jean-Michel
3	Crouch, Peter E.
3	Crumeyrolle, Albert
3	Èlkin, V. I.
3	Femat, Ricardo
3	García, Rafael Antonio
3	Gay-Balmaz, François
3	Glazebrook, James F.
3	Gonçalves, J. Basto
3	Grasse, Kevin A.
3	Guerrero, Julio
3	Guillemin, Victor W.
3	Hall, Graham S.
3	Hazewinkel, Michiel
3	Iliev, Bozhidar Zakhariev
3	Kollross, Andreas
3	Korányi, Adam
3	Kuriakose, Valakkattil C.
3	Lacomba, Ernesto A.
3	Laurent-Gengoux, Camille
3	Lavau, Sylvain
3	Lévine, Jean
3	Love, Thomas R.
3	Marcus, Steven I.
3	Menini, Laura
3	Monaco, Salvatore
3	Montanari, Annamaria
3	Morando, Paola
3	Morbidelli, Daniele
3	Mrugała, Ryszard
3	Myung, Hyo Chul
3	Ng, SuiChung
3	Nijmeijer, Henk
3	Normand-Cyrot, Dorothée
...and 1,330 more Authors

all top 5

Cited in 259 Serials

62	Systems & Control Letters
51	International Journal of Control
42	Automatica
37	Journal of Mathematical Physics
29	Transactions of the American Mathematical Society
21	Communications in Mathematical Physics
21	International Journal of Theoretical Physics
20	Reports on Mathematical Physics
20	Journal of Geometry and Physics
20	Journal of Differential Equations
19	Acta Applicandae Mathematicae
18	Chaos
17	General Relativity and Gravitation
17	Mathematical Systems Theory
17	Linear Algebra and its Applications
16	Proceedings of the American Mathematical Society
15	Mathematical Biosciences
15	Journal of Mathematical Sciences (New York)
14	International Journal of Geometric Methods in Modern Physics
13	Annali di Matematica Pura ed Applicata. Serie Quarta
12	Journal of Mathematical Analysis and Applications
12	International Journal of Robust and Nonlinear Control
12	European Journal of Control
12	Bulletin of the American Mathematical Society
11	International Journal of Systems Science
11	Advances in Mathematics
11	Annales de l’Institut Fourier
11	Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
11	Annals of Global Analysis and Geometry
11	Annals of Physics
10	MCSS. Mathematics of Control, Signals, and Systems
10	Differential Geometry and its Applications
10	Asian Journal of Control
9	Mathematische Annalen
9	SIAM Journal on Control and Optimization
9	Tôhoku Mathematical Journal. Second Series
7	Journal of the Franklin Institute
7	Physics Letters. A
7	Applied Mathematics and Computation
7	Mathematische Zeitschrift
6	Physica A
6	Journal of Soviet Mathematics
6	Kybernetika
6	Applied Mathematics and Mechanics. (English Edition)
6	Physica D
6	International Journal of Applied Mathematics and Computer Science
6	Differential Equations
5	Theoretical and Mathematical Physics
5	Geometriae Dedicata
5	Inventiones Mathematicae
5	Journal of Optimization Theory and Applications
5	Kodai Mathematical Journal
5	The Journal of Geometric Analysis
5	Journal of Dynamical and Control Systems
5	Journal of Physics A: Mathematical and Theoretical
4	Letters in Mathematical Physics
4	Bulletin de la Société Mathématique de France
4	Czechoslovak Mathematical Journal
4	Journal of Algebra
4	Journal of Nonlinear Science
4	European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4	Il Nuovo Cimento, X. Series, A
4	Nonlinear Analysis. Theory, Methods & Applications
4	International Journal of Systems Science. Principles and Applications of Systems and Integration
3	Archive for Rational Mechanics and Analysis
3	International Journal of Engineering Science
3	International Journal of General Systems
3	Mathematical Notes
3	Mathematical Proceedings of the Cambridge Philosophical Society
3	Chaos, Solitons and Fractals
3	Archiv der Mathematik
3	Compositio Mathematica
3	Journal of Functional Analysis
3	Results in Mathematics
3	Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
3	Topology and its Applications
3	Journal of Non-Newtonian Fluid Mechanics
3	Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3	Journal of Computer and Systems Sciences International
3	Journal of Lie Theory
3	Documenta Mathematica
3	Journal of Mathematical Chemistry
3	Communications in Nonlinear Science and Numerical Simulation
3	Journal of High Energy Physics
3	Kodai Mathematical Seminar Reports
3	Journal of Geometric Mechanics
2	Modern Physics Letters A
2	Bulletin of the Australian Mathematical Society
2	Communications on Pure and Applied Mathematics
2	Israel Journal of Mathematics
2	Journal d’Analyse Mathématique
2	Linear and Multilinear Algebra
2	Periodica Mathematica Hungarica
2	Stochastics
2	Reviews in Mathematical Physics
2	Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2	Acta Mathematica
2	Annales Polonici Mathematici
2	Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2	Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
...and 159 more Serials

all top 5

Cited in 59 Fields

435	Systems theory; control (93-XX)
279	Differential geometry (53-XX)
140	Global analysis, analysis on manifolds (58-XX)
124	Dynamical systems and ergodic theory (37-XX)
92	Manifolds and cell complexes (57-XX)
88	Mechanics of particles and systems (70-XX)
65	Topological groups, Lie groups (22-XX)
62	Ordinary differential equations (34-XX)
62	Quantum theory (81-XX)
61	Calculus of variations and optimal control; optimization (49-XX)
53	Nonassociative rings and algebras (17-XX)
53	Partial differential equations (35-XX)
43	Relativity and gravitational theory (83-XX)
37	Classical thermodynamics, heat transfer (80-XX)
36	Biology and other natural sciences (92-XX)
33	Several complex variables and analytic spaces (32-XX)
28	Statistical mechanics, structure of matter (82-XX)
27	Algebraic topology (55-XX)
23	Algebraic geometry (14-XX)
22	Linear and multilinear algebra; matrix theory (15-XX)
17	Probability theory and stochastic processes (60-XX)
16	Operations research, mathematical programming (90-XX)
14	Numerical analysis (65-XX)
13	Information and communication theory, circuits (94-XX)
12	Functional analysis (46-XX)
12	Computer science (68-XX)
10	Group theory and generalizations (20-XX)
10	Fluid mechanics (76-XX)
9	Operator theory (47-XX)
9	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7	History and biography (01-XX)
7	Mathematical logic and foundations (03-XX)
7	Associative rings and algebras (16-XX)
7	Real functions (26-XX)
7	General topology (54-XX)
6	Combinatorics (05-XX)
6	Optics, electromagnetic theory (78-XX)
5	Commutative algebra (13-XX)
5	Category theory; homological algebra (18-XX)
5	Geometry (51-XX)
5	Statistics (62-XX)
5	Mechanics of deformable solids (74-XX)
4	Abstract harmonic analysis (43-XX)
3	Number theory (11-XX)
3	Functions of a complex variable (30-XX)
3	Special functions (33-XX)
3	Approximations and expansions (41-XX)
3	Integral transforms, operational calculus (44-XX)
3	Geophysics (86-XX)
2	General and overarching topics; collections (00-XX)
2	Field theory and polynomials (12-XX)
2	Measure and integration (28-XX)
2	Potential theory (31-XX)
2	Integral equations (45-XX)
2	Convex and discrete geometry (52-XX)
2	Astronomy and astrophysics (85-XX)
1	Order, lattices, ordered algebraic structures (06-XX)
1	\(K\)-theory (19-XX)
1	Harmonic analysis on Euclidean spaces (42-XX)

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.