Jean-Marie Souriau - Author Profile

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Souriau, Jean-Marie

Author ID:	souriau.jean-marie
Published as:	Souriau, Jean-Marie; Souriau, J.-M.; Souriau, J. M.; Souriau, J. more...less
External Links:	MGP · Wikidata · GND · IdRef · theses.fr

Documents Indexed:	52 Publications since 1944, including 8 Books
	1 Contribution as Editor · 2 Further Contributions
Biographic References:	1 Publication
Co-Authors:	12 Co-Authors with 8 Joint Publications
	150 Co-Co-Authors

all top 5

Co-Authors

44	single-authored
2	Fortune, Danielle
2	Triay, Roland
2	Vallee, Claude
1	Bacry, Henri
1	Berry, Michael V.
1	Bloembergen, Nicolaas
1	Chastenet de Gery, Jerome
1	de Hoop, Adrianus T.
1	de Lang, H.
1	de Meijere, J. L. F.
1	de Saxcé, Géry
1	Deruelle, Nathalie
1	Duistermaat, Johannes Jisse
1	Ferweda, H. A.
1	Fliche, Henri-Hugues
1	García, Pedro Luis
1	Guenin, Marcel
1	Gutt, Simone
1	Herrmann, Aloys
1	Iglesias-Zemmour, Patrick
1	Kuiken, Hendrik K.
1	Lichnerowicz, Andre
1	Magnon-Ashtekar, Anne
1	McLenaghan, Raymond G.
1	Modugno, Marco
1	Pérez-Rendón, Antonio F.
1	Pommaret, Jean-Francois
1	Réaud, Karine
1	Ruegg, Henri
1	Spindel, Philippe
1	Tafflin, Eric
1	Teyssandier, Pierre
1	Tourrenc, Philippe
1	Wolf, Emil

all top 5

Serials

11	Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris
2	Communications in Mathematical Physics
2	Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
1	General Relativity and Gravitation
1	Gazette des Mathématiciens
1	Fiziko-Matematichesko Spisanie
1	Discrete and Continuous Dynamical Systems
1	Gravitation & Cosmology
1	Comptes Rendus de l’Académie des Sciences. Série II. Fascicule b. Mécanique
1	Mathématiques et Sciences Humaines
1	Comptes Rendus. Mécanique. Académie des Sciences, Paris
1	Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
1	Il Nuovo Cimento, X. Series
1	La Revue Scientifique, 5. Série
1	Collection Enseignement des Sciences
1	Lecture Notes in Mathematics
1	Progress in Mathematics
1	Studies in Mathematical Physics

all top 5

Fields

16	Differential geometry (53-XX)
12	Relativity and gravitational theory (83-XX)
7	Mechanics of particles and systems (70-XX)
7	Quantum theory (81-XX)
6	Dynamical systems and ergodic theory (37-XX)
5	Global analysis, analysis on manifolds (58-XX)
2	General and overarching topics; collections (00-XX)
2	History and biography (01-XX)
2	Linear and multilinear algebra; matrix theory (15-XX)
2	Topological groups, Lie groups (22-XX)
2	Mechanics of deformable solids (74-XX)
2	Classical thermodynamics, heat transfer (80-XX)
2	Statistical mechanics, structure of matter (82-XX)
1	Partial differential equations (35-XX)
1	Operator theory (47-XX)
1	Algebraic topology (55-XX)
1	Manifolds and cell complexes (57-XX)
1	Numerical analysis (65-XX)
1	Fluid mechanics (76-XX)
1	Optics, electromagnetic theory (78-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

39 Publications have been cited 773 times in 675 Documents	Cited by ▼	Year ▼
Structure des systèmes dynamiques. Maitrises de mathématique. Zbl 0186.58001 Souriau, J.-M.	359	1970
Structure of dynamical systems. A symplectic view of physics. Transl. from the French by C. H. Cushman-de Vries. Transl. ed.: R. H. Cushman a. G. M. Tuynman. Zbl 0884.70001 Souriau, Jean-Marie	89	1997
Groupes différentiels. Zbl 0501.58010 Souriau, J. M.	51	1980
Quantification géométrique. Zbl 1148.81307 Souriau, J.-M.	46	1966
Dynamical groups and spherical potentials in classical mechanics. Zbl 0151.34204 Bacry, H.; Ruegg, H.; Souriau, J.-M.	29	1966
Spin particle model in the electromagnetic and gravitational field. (Modèle de particule à Spin dans le champ électromagnétique et gravitationnel.) Zbl 1422.83017 Souriau, Jean-Marie	21	1974
Construction explicite de l’indice de Maslov - Applications. Zbl 0378.58010 Souriau, Jean-Marie	19	1976
Géométrie et relativité. Zbl 0117.22204 Souriau, J.-M.	19	1964
Groupes différentiels de physique mathématique. Zbl 0541.58002 Souriau, J.-M.	15	1984
Un algorithme générateur de structures quantiques. (A productive algorithm for quantical structures). Zbl 0608.58028 Souriau, Jean-Marie	14	1985
Quantification geométrique. Applications. Zbl 0152.46204 Souriau, J.-M.	12	1967
Une méthode pour la décomposition spectrale et l’inversion des matrices. Zbl 0034.15801 Souriau, Jean-Marie	11	1948
Sur la variété de Kepler. Zbl 0305.53056 Souriau, Jean-Marie	9	1974
Mécanique classique et géométrie symplectique. (Classical mechanics and symplectic geometry). Zbl 0634.58004 Souriau, J.-M.	6	1985
The symplectic structure of mechanics described by Lagrange in 1811. (La structure symplectique de la mécanique décrite par Lagrange en 1811.) Zbl 0598.01006 Souriau, Jean-Marie	6	1986
Five-dimensional relativity. Zbl 0115.43704 Souriau, J. M.	6	1963
Géométrie symplectique et physique mathématique. Zbl 0399.70003 Souriau, J. M.	6	1978
Géométrie globale du problème à deux corps. (Global geometry of the two-body problem). Zbl 0592.70013 Souriau, J. M.	5	1983
Thermodynamique relativiste des fluides. Zbl 0377.76100 Souriau, Jean-Marie	5	1978
Généralisation de certaines formules arithmétiques d’inversion. Applications. Zbl 0061.07803 Souriau, Jean-Marie	5	1944
Thermodynamique et géométrie. Zbl 0397.53048 Souriau, Jean-Marie	5	1978
Indice de Maslov des variétés lagrangiennes orientables. Zbl 0254.58007 Souriau, Jean-Marie	4	1973
On geometric mechanics. Zbl 1220.70002 Souriau, Jean-Marie	4	2007
Méthodes mathématiques de la physique. Calcul linéaire. Zbl 0086.01501 Souriau, Jean-Marie	4	1959
Le Verrier-Souriau method and linear differential equations. (Méthode de Le Verrier-Souriau et équations différentielles linéaires.) Zbl 1076.74523 Réaud, Karine; Souriau, Jean-Marie; Vallée, Claude; Fortuné, Danielle	3	2000
Quantification géométrique. (Geometric quantization). Zbl 0698.58027 Souriau, Jean-Marie	3	1988
Heat, cold and geometry. Zbl 0501.53019 Iglesias, P.; Souriau, J. M.	2	1983
Anisotropic Hubble expansion of large scale structures. Zbl 1092.83028 Fliche, H. H.; Souriau, J. M.; Triay, R.	2	2006
Calcul linéaire. Méthodes mathématiques de la physique. Tome 1. 2ième éd. Zbl 0126.02502 Souriau, Jean-Marie	2	1964
Calcul linéaire. Tome 2. 2ième éd. Zbl 0126.02503 Souriau, Jean-Marie	2	1965
Géométrie symplectique différentielle. - Applications. Zbl 0053.29604 Souriau, Jean-Marie	2	1953
Huygens’ principle 1690–1990: theory and applications. Proceedings of an international symposium, held in The Hague, Scheveningen, Netherlands, November 19–22, 1990. Zbl 0753.01014	1	1992
Electromécanique galiléenne. (Galilean electromechanics). Zbl 0614.58021 Souriau, J.-M.	1	1987
Differential geometrical methods in mathematical physics. Proceedings of the Conferences held at Aix-en-Provence, September 3-7, 1979, and Salamanca, September 10-14, 1979. Zbl 0436.00018	1	1980
Interpretation geométrique des etats quantiques. Zbl 0458.58011 Souriau, Jean-Marie	1	1977
Équations canoniques et géométrie symplectique. Zbl 0067.14303 Souriau, Jean-Marie	1	1955
Le tenseur impulsion-énergie en relativité variationelle. Zbl 0087.22901 Souriau, Jean-Marie	1	1957
Conséquences physiques d’une théorie unitaire. Zbl 0114.44001 Souriau, J.-M.	1	1959
Differential groups and mathematical physics. (Groupes différentiels et physique mathématique.) Zbl 07905621 Souriau, Jean-Marie	1	1984
On geometric mechanics. Zbl 1220.70002 Souriau, Jean-Marie	4	2007
Anisotropic Hubble expansion of large scale structures. Zbl 1092.83028 Fliche, H. H.; Souriau, J. M.; Triay, R.	2	2006
Le Verrier-Souriau method and linear differential equations. (Méthode de Le Verrier-Souriau et équations différentielles linéaires.) Zbl 1076.74523 Réaud, Karine; Souriau, Jean-Marie; Vallée, Claude; Fortuné, Danielle	3	2000
Structure of dynamical systems. A symplectic view of physics. Transl. from the French by C. H. Cushman-de Vries. Transl. ed.: R. H. Cushman a. G. M. Tuynman. Zbl 0884.70001 Souriau, Jean-Marie	89	1997
Huygens’ principle 1690–1990: theory and applications. Proceedings of an international symposium, held in The Hague, Scheveningen, Netherlands, November 19–22, 1990. Zbl 0753.01014	1	1992
Quantification géométrique. (Geometric quantization). Zbl 0698.58027 Souriau, Jean-Marie	3	1988
Electromécanique galiléenne. (Galilean electromechanics). Zbl 0614.58021 Souriau, J.-M.	1	1987
The symplectic structure of mechanics described by Lagrange in 1811. (La structure symplectique de la mécanique décrite par Lagrange en 1811.) Zbl 0598.01006 Souriau, Jean-Marie	6	1986
Un algorithme générateur de structures quantiques. (A productive algorithm for quantical structures). Zbl 0608.58028 Souriau, Jean-Marie	14	1985
Mécanique classique et géométrie symplectique. (Classical mechanics and symplectic geometry). Zbl 0634.58004 Souriau, J.-M.	6	1985
Groupes différentiels de physique mathématique. Zbl 0541.58002 Souriau, J.-M.	15	1984
Differential groups and mathematical physics. (Groupes différentiels et physique mathématique.) Zbl 07905621 Souriau, Jean-Marie	1	1984
Géométrie globale du problème à deux corps. (Global geometry of the two-body problem). Zbl 0592.70013 Souriau, J. M.	5	1983
Heat, cold and geometry. Zbl 0501.53019 Iglesias, P.; Souriau, J. M.	2	1983
Groupes différentiels. Zbl 0501.58010 Souriau, J. M.	51	1980
Differential geometrical methods in mathematical physics. Proceedings of the Conferences held at Aix-en-Provence, September 3-7, 1979, and Salamanca, September 10-14, 1979. Zbl 0436.00018	1	1980
Géométrie symplectique et physique mathématique. Zbl 0399.70003 Souriau, J. M.	6	1978
Thermodynamique relativiste des fluides. Zbl 0377.76100 Souriau, Jean-Marie	5	1978
Thermodynamique et géométrie. Zbl 0397.53048 Souriau, Jean-Marie	5	1978
Interpretation geométrique des etats quantiques. Zbl 0458.58011 Souriau, Jean-Marie	1	1977
Construction explicite de l’indice de Maslov - Applications. Zbl 0378.58010 Souriau, Jean-Marie	19	1976
Spin particle model in the electromagnetic and gravitational field. (Modèle de particule à Spin dans le champ électromagnétique et gravitationnel.) Zbl 1422.83017 Souriau, Jean-Marie	21	1974
Sur la variété de Kepler. Zbl 0305.53056 Souriau, Jean-Marie	9	1974
Indice de Maslov des variétés lagrangiennes orientables. Zbl 0254.58007 Souriau, Jean-Marie	4	1973
Structure des systèmes dynamiques. Maitrises de mathématique. Zbl 0186.58001 Souriau, J.-M.	359	1970
Quantification geométrique. Applications. Zbl 0152.46204 Souriau, J.-M.	12	1967
Quantification géométrique. Zbl 1148.81307 Souriau, J.-M.	46	1966
Dynamical groups and spherical potentials in classical mechanics. Zbl 0151.34204 Bacry, H.; Ruegg, H.; Souriau, J.-M.	29	1966
Calcul linéaire. Tome 2. 2ième éd. Zbl 0126.02503 Souriau, Jean-Marie	2	1965
Géométrie et relativité. Zbl 0117.22204 Souriau, J.-M.	19	1964
Calcul linéaire. Méthodes mathématiques de la physique. Tome 1. 2ième éd. Zbl 0126.02502 Souriau, Jean-Marie	2	1964
Five-dimensional relativity. Zbl 0115.43704 Souriau, J. M.	6	1963
Méthodes mathématiques de la physique. Calcul linéaire. Zbl 0086.01501 Souriau, Jean-Marie	4	1959
Conséquences physiques d’une théorie unitaire. Zbl 0114.44001 Souriau, J.-M.	1	1959
Le tenseur impulsion-énergie en relativité variationelle. Zbl 0087.22901 Souriau, Jean-Marie	1	1957
Équations canoniques et géométrie symplectique. Zbl 0067.14303 Souriau, Jean-Marie	1	1955
Géométrie symplectique différentielle. - Applications. Zbl 0053.29604 Souriau, Jean-Marie	2	1953
Une méthode pour la décomposition spectrale et l’inversion des matrices. Zbl 0034.15801 Souriau, Jean-Marie	11	1948
Généralisation de certaines formules arithmétiques d’inversion. Applications. Zbl 0061.07803 Souriau, Jean-Marie	5	1944

all cited Publications top 5 cited Publications

all top 5

Cited by 752 Authors

17	Horváthy, Peter A.
14	Duval, Christian
12	Iglesias-Zemmour, Patrick
11	Aldaya, Victor
11	Śniatycki, Jędrzej
10	Odzijewicz, Anatol
9	Barbaresco, Frédéric
9	Marmo, Giuseppe
9	Weinstein, Alan David
8	de Saxcé, Géry
7	Pelayo, Alvaro
7	Vallee, Claude
6	Gay-Balmaz, François
6	Guerrero, Julio
6	Kosiński, Piotr
6	Lukierski, Jerzy
6	Magnot, Jean-Pierre
6	Maślanka, Paweł
6	Rawnsley, John H.
6	Spera, Mauro
6	Tronci, Cesare
5	Ahmadi, Alireza
5	Calixto, Manuel
5	Ciaglia, Florio Maria
5	Elbistan, Mahmut
5	Figueroa-O’Farrill, José Miguel
5	Pervova, Ekaterina
5	Rosca, Radu M.
5	Sternberg, Shlomo
5	Wu, Enxin
5	Zhang, Pengming
4	Andrzejewski, Krzysztof
4	Dutykh, Denys
4	Frønsdal, Christian
4	Gonera, Joanna
4	Hurt, Norman E.
4	Kuribayashi, Katsuhiko
4	Laohakosol, Vichian
4	Lopez-Ruiz, Francisco F.
4	Ma, Xiaonan
4	Marsot, Loïc
4	Rosensteel, George
4	Vivarelli, Maria Dina
4	Zampini, Alessandro
4	Ziegler, François
3	Bacry, Henri
3	Barnich, Glenn
3	Bergshoeff, Eric A.
3	Cahen, Michel
3	Cariñena, José F.
3	Christensen, J. Daniel
3	Cushman, Richard H.
3	de Azcárraga, José A.
3	Dehghan-Nezhad, Akbar
3	Di Cosmo, Fabio
3	Furutani, Kenro
3	Gomis, Joaquim
3	Gouin, Henri
3	Guillemin, Victor W.
3	Gukov, Sergei
3	Gutt, Simone
3	Hassaïne, Mokhtar
3	Hector, Gilbert
3	Ihrig, Edwin C.
3	Karasev, Mikhail Vladimirovich
3	Kolev, Boris
3	Künzle, Hans Peter
3	Le Floch, Yohann
3	Maciążek, Tomasz
3	Marinescu, George
3	Marle, Charles-Michel
3	Martin, Geoffrey V.
3	Martina, Luigi
3	Modugno, Marco
3	Morrison, Philip J.
3	Navarro-Salas, José
3	Pabhapote, Nittiya
3	Reyes, Enrique G.
3	Román-Roy, Narciso
3	Tulczyjew, Włodzimierz Marek
3	Tuynman, Gijs M.
3	Vákár, Matthijs
3	Vitolo, Raffaele F.
3	Weatherall, James Owen
3	Werth, J.-E.
3	Woronowicz, Mariusz
3	Zucchini, Roberto
2	Alekseev, Anton Yur’evich
2	Anco, Stephen C.
2	Banyaga, Augustin
2	Bellucci, Stefano
2	Ben-Ya’acov, Uri
2	Bette, Andreas
2	Bunk, Severin
2	Capobianco, Giuseppe
2	Catren, Gabriel
2	Challamel, Noël
2	Charles, Laurent
2	Chirco, Goffredo
2	Darve, Félix
...and 652 more Authors

all top 5

Cited in 171 Serials

63	Journal of Geometry and Physics
39	Journal of Mathematical Physics
29	Reports on Mathematical Physics
26	Communications in Mathematical Physics
21	International Journal of Theoretical Physics
21	Journal of High Energy Physics
18	Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
18	International Journal of Geometric Methods in Modern Physics
17	Physics Letters. B
16	Annals of Physics
9	Annales de l’Institut Fourier
9	Annales de l’Institut Henri Poincaré. Physique Théorique
8	Nuclear Physics. B
8	Topology and its Applications
7	Physics Letters. A
7	Advances in Mathematics
7	Differential Geometry and its Applications
7	Indagationes Mathematicae. New Series
6	Theoretical and Mathematical Physics
6	Mathematische Zeitschrift
6	Proceedings of the American Mathematical Society
6	Transactions of the American Mathematical Society
6	Bulletin of the American Mathematical Society. New Series
6	Journal of Nonlinear Mathematical Physics
6	Foundations of Physics
5	Classical and Quantum Gravity
5	General Relativity and Gravitation
5	Letters in Mathematical Physics
5	Journal of Differential Equations
5	Physica D
5	Regular and Chaotic Dynamics
5	SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
5	Journal of Physics A: Mathematical and Theoretical
5	Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
5	Journal of Geometric Mechanics
4	International Journal of Engineering Science
4	Israel Journal of Mathematics
4	Journal of Mathematical Analysis and Applications
4	Reviews in Mathematical Physics
4	Inventiones Mathematicae
4	Journal of Functional Analysis
4	Celestial Mechanics
4	Journal of Mathematical Sciences (New York)
4	SciPost Physics
3	Archive for Rational Mechanics and Analysis
3	Annali di Matematica Pura ed Applicata. Serie Quarta
3	Bulletin de la Société Mathématique de France
3	Meccanica
3	Memoirs of the American Mathematical Society
3	Celestial Mechanics and Dynamical Astronomy
3	Information Geometry
2	Modern Physics Letters A
2	Astrophysics and Space Science
2	Lithuanian Mathematical Journal
2	Mathematical Notes
2	Mathematical Proceedings of the Cambridge Philosophical Society
2	Nonlinearity
2	Physica A
2	Physics Reports
2	Prikladnaya Matematika i Mekhanika
2	Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2	Duke Mathematical Journal
2	International Journal of Mathematics and Mathematical Sciences
2	Journal für die Reine und Angewandte Mathematik
2	Journal of Soviet Mathematics
2	Manuscripta Mathematica
2	Mathematische Annalen
2	Monatshefte für Mathematik
2	Ricerche di Matematica
2	Synthese
2	Acta Applicandae Mathematicae
2	The Journal of Geometric Analysis
2	Journal of Elasticity
2	Linear Algebra and its Applications
2	Expositiones Mathematicae
2	Journal of Nonlinear Science
2	Theory and Applications of Categories
2	Mathematics and Mechanics of Solids
2	Mathematical Physics, Analysis and Geometry
2	ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2	Mediterranean Journal of Mathematics
2	Journal of Homotopy and Related Structures
2	Nonlinear Analysis. Theory, Methods & Applications
1	International Journal of Modern Physics A
1	Archive for History of Exact Sciences
1	Communications in Algebra
1	Discrete Mathematics
1	Journal of the Franklin Institute
1	Journal of Statistical Physics
1	Linear and Multilinear Algebra
1	Reviews of Modern Physics
1	Rocky Mountain Journal of Mathematics
1	Wave Motion
1	Bulletin of Mathematical Biology
1	The Annals of Probability
1	Applied Mathematics and Computation
1	Applied Mathematics and Optimization
1	Archiv der Mathematik
1	Blätter (Deutsche Gesellschaft für Versicherungsmathematik)
1	Boletim da Sociedade Brasileira de Matemática
...and 71 more Serials

all top 5

Cited in 51 Fields

313	Differential geometry (53-XX)
240	Quantum theory (81-XX)
149	Mechanics of particles and systems (70-XX)
135	Dynamical systems and ergodic theory (37-XX)
112	Global analysis, analysis on manifolds (58-XX)
82	Relativity and gravitational theory (83-XX)
71	Topological groups, Lie groups (22-XX)
57	Manifolds and cell complexes (57-XX)
41	Nonassociative rings and algebras (17-XX)
34	Partial differential equations (35-XX)
24	Several complex variables and analytic spaces (32-XX)
22	Functional analysis (46-XX)
22	Algebraic topology (55-XX)
21	Category theory; homological algebra (18-XX)
16	Algebraic geometry (14-XX)
16	Statistical mechanics, structure of matter (82-XX)
15	Mechanics of deformable solids (74-XX)
14	Fluid mechanics (76-XX)
13	Group theory and generalizations (20-XX)
12	Operator theory (47-XX)
11	Numerical analysis (65-XX)
11	Classical thermodynamics, heat transfer (80-XX)
10	Number theory (11-XX)
10	Optics, electromagnetic theory (78-XX)
9	History and biography (01-XX)
9	Ordinary differential equations (34-XX)
8	Linear and multilinear algebra; matrix theory (15-XX)
8	Probability theory and stochastic processes (60-XX)
8	Statistics (62-XX)
7	General and overarching topics; collections (00-XX)
7	Calculus of variations and optimal control; optimization (49-XX)
6	Mathematical logic and foundations (03-XX)
6	Associative rings and algebras (16-XX)
6	Computer science (68-XX)
5	Real functions (26-XX)
5	Information and communication theory, circuits (94-XX)
4	Commutative algebra (13-XX)
4	General topology (54-XX)
4	Systems theory; control (93-XX)
3	Functions of a complex variable (30-XX)
3	Abstract harmonic analysis (43-XX)
3	Geometry (51-XX)
2	Field theory and polynomials (12-XX)
2	Measure and integration (28-XX)
2	Astronomy and astrophysics (85-XX)
2	Biology and other natural sciences (92-XX)
1	Combinatorics (05-XX)
1	Special functions (33-XX)
1	Difference and functional equations (39-XX)
1	Integral equations (45-XX)
1	Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year

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