Helga Baum - Author Profile

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Baum, Helga

Author ID:	baum.helga
Published as:	Baum, Helga
External Links:	MGP · Wikidata · GND · IdRef · theses.fr

Documents Indexed:	36 Publications since 1981, including 5 Books
	1 Contribution as Editor
Reviewing Activity:	57 Reviews
Co-Authors:	10 Co-Authors with 14 Joint Publications
	152 Co-Co-Authors

all top 5

Co-Authors

23	single-authored
5	Kath, Ines
3	Friedrich, Thomas
3	Leistner, Thomas
2	Grunewald, Ralf
2	Leitner, Felipe
1	Alekseevskiĭ, Dmitriĭ Vladimirovich
1	Juhl, Andreas
1	Lärz, Kordian
1	Lischewski, Andree
1	Müller, Olaf

all top 5

Serials

6	Annals of Global Analysis and Geometry
4	Mathematische Zeitschrift
3	Journal of Geometry and Physics
3	Differential Geometry and its Applications
2	Comptes Rendus de l’Académie des Sciences. Série I
2	Teubner-Texte zur Mathematik
1	Bulletin of the Polish Academy of Sciences, Mathematics
1	Seminarbericht, Humboldt-Universität zu Berlin, Sektion Mathematik
1	Oberwolfach Seminars
1	ESI Lectures in Mathematics and Physics
1	Springer-Lehrbuch Masterclass

all top 5

Fields

36	Differential geometry (53-XX)
11	Global analysis, analysis on manifolds (58-XX)
3	Manifolds and cell complexes (57-XX)
3	Quantum theory (81-XX)
2	Ordinary differential equations (34-XX)
2	Partial differential equations (35-XX)
2	Relativity and gravitational theory (83-XX)
1	General and overarching topics; collections (00-XX)
1	Topological groups, Lie groups (22-XX)
1	Several complex variables and analytic spaces (32-XX)
1	Operator theory (47-XX)
1	Algebraic topology (55-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

32 Publications have been cited 593 times in 417 Documents	Cited by ▼	Year ▼
Twistors and Killing spinors on Riemannian manifolds. Zbl 0734.53003 Baum, Helga; Friedrich, Thomas; Grunewald, Ralf; Kath, Ines	140	1991
Spin-Strukturen und Dirac-Operatoren über pseudoriemannschen Mannigfaltigkeiten. Zbl 0519.53054 Baum, Helga	85	1981
Complete Riemannian manifolds with imaginary Killing spinors. Zbl 0694.53043 Baum, Helga	49	1989
Twistor and Killing spinors on Riemannian manifolds. Zbl 0705.53004 Baum, Helga; Friedrich, Thomas; Grunewald, Ralf; Kath, Ines	44	1990
Conformal differential geometry. \(Q\)-curvature and conformal holonomy. Zbl 1189.53045 Baum, Helga; Juhl, Andreas	31	2010
Parallel spinors and holonomy groups on pseudo-Riemannian spin manifolds. Zbl 0928.53027 Baum, Helga; Kath, Ines	25	1999
Odd-dimensional Riemannian manifolds with imaginary Killing spinors. Zbl 0708.53039 Baum, Helga	23	1989
The twistor equation in Lorentzian spin geometry. Zbl 1068.53031 Baum, Helga; Leitner, Felipe	23	2004
Lorentzian twistor spinors and CR-geometry. Zbl 0930.53033 Baum, Helga	18	1999
Twistor and Killing spinors in Lorentzian geometry. Zbl 1012.53044 Baum, Helga	16	2000
On the full holonomy group of Lorentzian manifolds. Zbl 1306.53038 Baum, Helga; Lärz, Kordian; Leistner, Thomas	14	2014
An upper bound for the first eigenvalue of the Dirac operator on compact spin manifolds. Zbl 0722.53036 Baum, Helga	13	1991
Holonomy groups of Lorentzian manifolds: a status report. Zbl 1242.53001 Baum, Helga	11	2012
Conformal Killing spinors and special geometric structures in Lorentzian geometry - a survey. Zbl 1046.53032 Baum, Helga	10	2001
Doubly extended Lie groups – curvature, holonomy and parallel spinors. Zbl 1066.53115 Baum, Helga; Kath, Ines	9	2003
Conformal Killing spinors and the holonomy problem in Lorentzian geometry – a survey of new results. Zbl 1143.53046 Baum, Helga	9	2008
Codazzi spinors and globally hyperbolic manifolds with special holonomy. Zbl 1139.53023 Baum, Helga; Müller, Olaf	8	2008
Gauge theory. An introduction into differential geometry on fibre bundles. (Eichfeldtheorie. Eine Einführung in die Differentialgeometrie auf Faserbündeln.) Zbl 1175.53001 Baum, Helga	8	2009
Cauchy problems for Lorentzian manifolds with special holonomy. Zbl 1339.53067 Baum, Helga; Leistner, Thomas; Lischewski, Andree	7	2016
Twistor spinors on Lorentzian symmetric spaces. Zbl 0965.53046 Baum, Helga	7	2000
Eigenvalue estimates for Dirac operators coupled to instantons. Zbl 0823.34072 Baum, Helga	6	1994
Gauge theory. An introduction into differential geometry on fibre bundles. 2nd revised ed. (Eichfeldtheorie. Eine Einführung in die Differentialgeometrie auf Faserbündeln.) Zbl 1297.53001 Baum, Helga	5	2014
Spinor structures and Dirac operators on pseudo-Riemannian manifolds. Zbl 0573.53039 Baum, Helga	5	1985
Recent developments in pseudo-Riemannian geometry. Zbl 1139.53002	5	2008
Lorentzian geometry: holonomy, spinors, and Cauchy problems. Zbl 1456.53003 Baum, Helga; Leistner, Thomas	4	2018
Normally hyperbolic operators, the Huygens property and conformal geometry. Zbl 0928.58037 Baum, Helga; Kath, Ines	4	1996
Variétés riemanniennes admettant des spineurs de Killing imaginaires. (Complete Riemannian manifolds with imaginary Killing spinors). Zbl 0676.53053 Baum, Helga	4	1989
The conformal analog of Calabi-Yau manifolds. Zbl 1229.53002 Baum, Helga	3	2010
Twistor spinors on Lorentzian manifolds, CR-geometry and Fefferman spaces. Zbl 0947.58026 Baum, Helga	2	1999
The Dirac operator on Lorentzian spin manifolds and the Huygens property. Zbl 0913.34074 Baum, Helga	2	1997
The geometric structure of Lorentzian manifolds with twistor spinors in low dimension. Zbl 1103.53041 Baum, Helga; Leitner, Felipe	2	2005
Une borne supérieure pour la première valeur propre de l’opérateur de Dirac sur une variété riemannienne spinorielle compacte à courbure scalaire positive. (An upper bound for the first eigenvalue of the Dirac operator on a compact Riemannian spin manifold of positive scalar curvature). Zbl 0713.53026 Baum, Helga	1	1990
Lorentzian geometry: holonomy, spinors, and Cauchy problems. Zbl 1456.53003 Baum, Helga; Leistner, Thomas	4	2018
Cauchy problems for Lorentzian manifolds with special holonomy. Zbl 1339.53067 Baum, Helga; Leistner, Thomas; Lischewski, Andree	7	2016
On the full holonomy group of Lorentzian manifolds. Zbl 1306.53038 Baum, Helga; Lärz, Kordian; Leistner, Thomas	14	2014
Gauge theory. An introduction into differential geometry on fibre bundles. 2nd revised ed. (Eichfeldtheorie. Eine Einführung in die Differentialgeometrie auf Faserbündeln.) Zbl 1297.53001 Baum, Helga	5	2014
Holonomy groups of Lorentzian manifolds: a status report. Zbl 1242.53001 Baum, Helga	11	2012
Conformal differential geometry. \(Q\)-curvature and conformal holonomy. Zbl 1189.53045 Baum, Helga; Juhl, Andreas	31	2010
The conformal analog of Calabi-Yau manifolds. Zbl 1229.53002 Baum, Helga	3	2010
Gauge theory. An introduction into differential geometry on fibre bundles. (Eichfeldtheorie. Eine Einführung in die Differentialgeometrie auf Faserbündeln.) Zbl 1175.53001 Baum, Helga	8	2009
Conformal Killing spinors and the holonomy problem in Lorentzian geometry – a survey of new results. Zbl 1143.53046 Baum, Helga	9	2008
Codazzi spinors and globally hyperbolic manifolds with special holonomy. Zbl 1139.53023 Baum, Helga; Müller, Olaf	8	2008
Recent developments in pseudo-Riemannian geometry. Zbl 1139.53002	5	2008
The geometric structure of Lorentzian manifolds with twistor spinors in low dimension. Zbl 1103.53041 Baum, Helga; Leitner, Felipe	2	2005
The twistor equation in Lorentzian spin geometry. Zbl 1068.53031 Baum, Helga; Leitner, Felipe	23	2004
Doubly extended Lie groups – curvature, holonomy and parallel spinors. Zbl 1066.53115 Baum, Helga; Kath, Ines	9	2003
Conformal Killing spinors and special geometric structures in Lorentzian geometry - a survey. Zbl 1046.53032 Baum, Helga	10	2001
Twistor and Killing spinors in Lorentzian geometry. Zbl 1012.53044 Baum, Helga	16	2000
Twistor spinors on Lorentzian symmetric spaces. Zbl 0965.53046 Baum, Helga	7	2000
Parallel spinors and holonomy groups on pseudo-Riemannian spin manifolds. Zbl 0928.53027 Baum, Helga; Kath, Ines	25	1999
Lorentzian twistor spinors and CR-geometry. Zbl 0930.53033 Baum, Helga	18	1999
Twistor spinors on Lorentzian manifolds, CR-geometry and Fefferman spaces. Zbl 0947.58026 Baum, Helga	2	1999
The Dirac operator on Lorentzian spin manifolds and the Huygens property. Zbl 0913.34074 Baum, Helga	2	1997
Normally hyperbolic operators, the Huygens property and conformal geometry. Zbl 0928.58037 Baum, Helga; Kath, Ines	4	1996
Eigenvalue estimates for Dirac operators coupled to instantons. Zbl 0823.34072 Baum, Helga	6	1994
Twistors and Killing spinors on Riemannian manifolds. Zbl 0734.53003 Baum, Helga; Friedrich, Thomas; Grunewald, Ralf; Kath, Ines	140	1991
An upper bound for the first eigenvalue of the Dirac operator on compact spin manifolds. Zbl 0722.53036 Baum, Helga	13	1991
Twistor and Killing spinors on Riemannian manifolds. Zbl 0705.53004 Baum, Helga; Friedrich, Thomas; Grunewald, Ralf; Kath, Ines	44	1990
Une borne supérieure pour la première valeur propre de l’opérateur de Dirac sur une variété riemannienne spinorielle compacte à courbure scalaire positive. (An upper bound for the first eigenvalue of the Dirac operator on a compact Riemannian spin manifold of positive scalar curvature). Zbl 0713.53026 Baum, Helga	1	1990
Complete Riemannian manifolds with imaginary Killing spinors. Zbl 0694.53043 Baum, Helga	49	1989
Odd-dimensional Riemannian manifolds with imaginary Killing spinors. Zbl 0708.53039 Baum, Helga	23	1989
Variétés riemanniennes admettant des spineurs de Killing imaginaires. (Complete Riemannian manifolds with imaginary Killing spinors). Zbl 0676.53053 Baum, Helga	4	1989
Spinor structures and Dirac operators on pseudo-Riemannian manifolds. Zbl 0573.53039 Baum, Helga	5	1985
Spin-Strukturen und Dirac-Operatoren über pseudoriemannschen Mannigfaltigkeiten. Zbl 0519.53054 Baum, Helga	85	1981

all cited Publications top 5 cited Publications

all top 5

Cited by 389 Authors

13	Leistner, Thomas
13	Moroianu, Andrei
12	Agricola, Ilka
12	Friedrich, Thomas
12	Semmelmann, Uwe
11	Baum, Helga
11	Hijazi, Oussama
10	Ginoux, Nicolas
9	Raulot, Simon
8	Ammann, Bernd Eberhard
8	Kath, Ines
8	Leitner, Felipe
8	Montiel, Sebastián
7	Ertem, Ümit
7	Galaev, Anton S.
7	Lischewski, Andree
6	Bär, Christian
6	Gover, Ashwin Rod
6	Juhl, Andreas
6	Kim, Eui Chul
5	Chrysikos, Ioannis
5	Conti, Diego
5	Habib, Georges
5	Hammerl, Matthias
5	Jost, Jürgen
5	Kraus, Margarita
5	Schäfer, Lars
5	Shahbazi, Carlos S.
5	Taghavi-Chabert, Arman
4	Alekseevskiĭ, Dmitriĭ Vladimirovich
4	Besnard, Fabien
4	Boyer, Charles P.
4	Chen, Yongfa
4	Gülbahar, Mehmet
4	Ikemakhen, Aziz
4	Murcia, Ángel J.
4	Nakad, Roger
4	Rademacher, Hans-Bert
4	Somberg, Petr
4	van den Dungen, Koenraad Lambertus
4	Wang, Guofang
3	Alexandrov, Bogdan
3	Bizi, Nadir
3	Branding, Volker
3	Chen, Daguang
3	Cortés, Vicente
3	Dalmasso, Romeo Segnan
3	Dappiaggi, Claudio
3	Dunajski, Maciej
3	Galicki, Krzysztof
3	Große, Nadine
3	Gustavsson, Andreas
3	Habermann, Katharina
3	Ivanov, Stefan P.
3	Kılıç, Erol
3	Klinker, Frank
3	Kröncke, Klaus
3	Kühnel, Wolfgang
3	Lawn, Marie-Amélie
3	Müller, Olaf
3	Nagase, Masayoshi
3	Niedziałomski, Kamil
3	Ovando, Gabriela P.
3	Rossi, Federico Alberto
3	Roth, Julien
3	Wang, Changliang
3	Wang, McKenzie Y. K.
3	Witt, Frederik
3	Zhang, Xiao
3	Zhou, Chunqin
3	Zhu, Miaomiao
2	Açık, Özgür
2	Anghel, Nicolae
2	Barberis, María Laura
2	Becker-Bender, Julia
2	Belgun, Florin Alexandru
2	Benini, Marco
2	Boucetta, Mohamed
2	Bunke, Ulrich
2	Case, Jeffrey S.
2	Chen, Qun
2	Chiossi, Simon G.
2	Çöken, Abdilkadir Ceylan
2	Dahl, Mattias
2	de Medeiros, Paul
2	Del Barco, Viviana J.
2	Di Scala, Antonio Jose
2	Dikarev, Andrei
2	Eker, Serhan
2	Figueroa-O’Farrill, José Miguel
2	Fino, Anna
2	Finster, Felix
2	Flood, Keegan J.
2	Foscolo, Lorenzo
2	Gomez, Ralph R.
2	Grantcharov, Gueo
2	Harland, Derek
2	Hofmann, Jordan
2	Höll, Jos
2	Humbert, Emmanuel
...and 289 more Authors

all top 5

Cited in 104 Serials

60	Journal of Geometry and Physics
41	Annals of Global Analysis and Geometry
29	Differential Geometry and its Applications
27	Communications in Mathematical Physics
25	Journal of High Energy Physics
24	Journal of Mathematical Physics
12	Mathematische Zeitschrift
10	International Journal of Mathematics
9	Letters in Mathematical Physics
9	Advances in Mathematics
6	Comptes Rendus. Mathématique. Académie des Sciences, Paris
5	Annales de l’Institut Fourier
5	Advances in Applied Clifford Algebras
4	Classical and Quantum Gravity
4	Nuclear Physics. B
4	Geometriae Dedicata
4	Mathematische Annalen
4	Results in Mathematics
4	Transactions of the American Mathematical Society
4	The Journal of Geometric Analysis
4	Calculus of Variations and Partial Differential Equations
4	Mathematical Physics, Analysis and Geometry
3	Transformation Groups
3	Annales Henri Poincaré
3	Central European Journal of Mathematics
3	International Journal of Geometric Methods in Modern Physics
3	Analysis and Mathematical Physics
2	International Journal of Theoretical Physics
2	Journal of Mathematical Analysis and Applications
2	Reviews in Mathematical Physics
2	Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2	Annali di Matematica Pura ed Applicata. Serie Quarta
2	Duke Mathematical Journal
2	Journal of the Korean Mathematical Society
2	Journal of the London Mathematical Society. Second Series
2	Manuscripta Mathematica
2	Mathematische Nachrichten
2	Memoirs of the American Mathematical Society
2	Monatshefte für Mathematik
2	Rendiconti del Circolo Matemàtico di Palermo. Serie II
2	Chinese Annals of Mathematics. Series B
2	Communications in Partial Differential Equations
2	Conformal Geometry and Dynamics
2	Geometry & Topology
2	Journal of the European Mathematical Society (JEMS)
2	Acta Mathematica Sinica. English Series
2	Mediterranean Journal of Mathematics
2	SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1	Communications in Algebra
1	Israel Journal of Mathematics
1	Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1	Journal d’Analyse Mathématique
1	Reports on Mathematical Physics
1	Rocky Mountain Journal of Mathematics
1	Archivum Mathematicum
1	Bulletin de la Société Mathématique de France
1	Hokkaido Mathematical Journal
1	Journal of Algebra
1	Journal of Functional Analysis
1	Journal für die Reine und Angewandte Mathematik
1	Osaka Journal of Mathematics
1	Pacific Journal of Mathematics
1	Proceedings of the American Mathematical Society
1	Proceedings of the London Mathematical Society. Third Series
1	Quaestiones Mathematicae
1	Siberian Mathematical Journal
1	Tôhoku Mathematical Journal. Second Series
1	Zeitschrift für Analysis und ihre Anwendungen
1	Bulletin of the Korean Mathematical Society
1	Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1	Revista Matemática Iberoamericana
1	Publicacions Matemàtiques
1	Science in China. Series A
1	Geometric and Functional Analysis. GAFA
1	Chinese Science Bulletin
1	Journal of Mathematical Sciences (New York)
1	Filomat
1	Sbornik: Mathematics
1	Documenta Mathematica
1	Balkan Journal of Geometry and its Applications (BJGA)
1	Journal of Inequalities and Applications
1	Communications in Contemporary Mathematics
1	Living Reviews in Relativity
1	Lobachevskii Journal of Mathematics
1	Gravitation & Cosmology
1	Advances in Geometry
1	Communications on Pure and Applied Analysis
1	Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1	Journal of Statistical Mechanics: Theory and Experiment
1	Applications and Applied Mathematics
1	Complex Analysis and Operator Theory
1	Journal of Physics A: Mathematical and Theoretical
1	Bulletin of Mathematical Analysis and Applications
1	Advances in Mathematical Physics
1	Science China. Mathematics
1	Ufimskiĭ Matematicheskiĭ Zhurnal
1	Axioms
1	Chamchuri Journal of Mathematics
1	Analysis and Geometry in Metric Spaces
1	European Journal of Mathematics
...and 4 more Serials

all top 5

Cited in 28 Fields

352	Differential geometry (53-XX)
111	Global analysis, analysis on manifolds (58-XX)
78	Relativity and gravitational theory (83-XX)
71	Quantum theory (81-XX)
37	Partial differential equations (35-XX)
27	Several complex variables and analytic spaces (32-XX)
27	Manifolds and cell complexes (57-XX)
18	Nonassociative rings and algebras (17-XX)
18	Topological groups, Lie groups (22-XX)
12	Algebraic geometry (14-XX)
9	Linear and multilinear algebra; matrix theory (15-XX)
9	Ordinary differential equations (34-XX)
7	Functional analysis (46-XX)
6	Algebraic topology (55-XX)
6	Mechanics of particles and systems (70-XX)
4	Functions of a complex variable (30-XX)
3	Operator theory (47-XX)
2	History and biography (01-XX)
2	Dynamical systems and ergodic theory (37-XX)
2	General topology (54-XX)
2	Statistical mechanics, structure of matter (82-XX)
1	General and overarching topics; collections (00-XX)
1	Mathematical logic and foundations (03-XX)
1	Combinatorics (05-XX)
1	Number theory (11-XX)
1	Group theory and generalizations (20-XX)
1	Special functions (33-XX)
1	Calculus of variations and optimal control; optimization (49-XX)

Citations by Year

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