×

zbMATH — the first resource for mathematics

Bär, Christian

Compute Distance To:
Author ID: bar.christian Recent zbMATH articles by "Bär, Christian"
Published as: Bär, C.; Bär, Ch.; Bär, Christian
External Links: MGP · Wikidata · GND
Documents Indexed: 74 Publications since 1990, including 11 Books
Reviewing Activity: 178 Reviews

Publications by Year

Citations contained in zbMATH

54 Publications have been cited 782 times in 560 Documents Cited by Year
Real Killing spinors and holonomy. Zbl 0778.53037
Bär, Christian
125
1993
Wave equations on Lorentzian manifolds and quantization. Zbl 1118.58016
Bär, Christian; Ginoux, Nicolas; Pfäffle, Frank
87
2007
Extrinsic bounds for eigenvalues of the Dirac operator. Zbl 0921.58065
Bär, Christian
64
1998
Generalized cylinders in semi-Riemannian and spin geometry. Zbl 1068.53030
Bär, Christian; Gauduchon, Paul; Moroianu, Andrei
53
2005
Metrics with harmonic spinors. Zbl 0867.53037
Bär, C.
39
1996
Zero sets of solutions to semilinear elliptic systems of first order. Zbl 0942.35064
Bär, Christian
38
1999
The Dirac operator on space forms of positive curvature. Zbl 0848.58046
Bär, Christian
33
1996
Green-hyperbolic operators on globally hyperbolic spacetimes. Zbl 1316.58027
Bär, Christian
27
2015
Lower eigenvalue estimates for Dirac operators. Zbl 0741.58046
Bär, Christian
27
1992
On Nodal Sets for Dirac and Laplace Operators. Zbl 0888.47028
Bär, Christian
23
1997
The Dirac operator on nilmanifolds and collapsing circle bundles. Zbl 0911.58037
Ammann, Bernd; Bär, Christian
21
1998
Classical and quantum fields on Lorentzian manifolds. Zbl 1254.81044
Bär, Christian; Ginoux, Nicolas
19
2012
Quantum field theory on curved spacetimes. Concepts and mathematical foundations. Extended lecture notes of the compact course quantum field theory on curved spacetimes, Potsdam, Germany, October 2007. Zbl 1178.81003
Bär, Christian (ed.); Fredenhagen, Klaus (ed.)
18
2009
The Dirac operator on homogeneous spaces and its spectrum on 3- dimensional lens spaces. Zbl 0786.53030
Bär, Christian
18
1992
The Dirac operator on hyperbolic manifolds of finite volume. Zbl 1030.58021
Bär, Christian
17
2000
Harmonic spinors on Riemann surfaces. Zbl 0763.30017
Bär, Christian; Schmutz, Paul
17
1992
Boundary value problems for elliptic differential operators of first order. Zbl 1331.58022
Bär, Christian; Ballmann, Werner
16
2012
Surgery and the spectrum of the Dirac operator. Zbl 1017.58019
Bär, Christian; Dahl, Mattias
13
2002
A rigorous geometric derivation of the chiral anomaly in curved backgrounds. Zbl 1350.81029
Bär, Christian; Strohmaier, Alexander
8
2016
Dirac eigenvalue estimates on surfaces. Zbl 1007.58014
Ammann, Bernd; Bär, Christian
8
2002
Differential characters. Zbl 1296.58002
Bär, Christian; Becker, Christian
7
2014
An index theorem for Lorentzian manifolds with compact spacelike Cauchy boundary. Zbl 1429.83004
Bär, Christian; Strohmaier, Alexander
6
2019
Guide to elliptic boundary value problems for Dirac-type operators. Zbl 1377.58022
Bär, Christian; Ballmann, Werner
6
2016
Initial value problems for wave equations on manifolds. Zbl 1338.58018
Bär, Christian; Wafo, Roger Tagne
6
2015
Stochastic completeness and volume growth. Zbl 1201.58024
Bär, Christian; Bessa, G. Pacelli
6
2010
Spectral bounds for Dirac operators on open manifolds. Zbl 1193.53119
Bär, Christian
6
2009
CCR- versus CAR-quantization on curved spacetimes. Zbl 1250.81073
Bär, Christian; Ginoux, Nicolas
5
2012
Asymptotic heat kernel expansion in the semi-classical limit. Zbl 1211.58018
Bär, Christian; Pfäffle, Frank
5
2010
The spectrum of Dirac operators. Zbl 0748.53022
Bär, Christian
5
1990
Elementary differential geometry. 2nd revised and enlarged ed. Zbl 1191.53001
Bär, Christian
4
2010
Path integrals on manifolds by finite dimensional approximation. Zbl 1165.58015
Bär, Christian; Pfäffle, Frank
4
2008
The first Dirac eigenvalues on manifolds with positive scalar curvature. Zbl 1053.58012
Bär, Christian; Dahl, Mattias
4
2004
Small eigenvalues of the conformal Laplacian. Zbl 1030.58003
Bär, Christian; Dahl, Matthias
4
2003
The Einstein-Hilbert action as a spectral action. Zbl 1255.81218
Ammann, Bernd; Bär, Christian
4
2002
On harmonic spinors. Zbl 1010.58016
Bär, C.
4
1998
Harmonic spinors for twisted Dirac operators. Zbl 0889.53025
Bär, Christian
4
1997
Geometrically formal 4-manifolds with nonnegative sectional curvature. Zbl 1319.53027
Bär, Christian
3
2015
Heat kernel asymptotics for roots of generalized Laplacians. Zbl 1079.58020
Bär, Christian; Moroianu, Sergiu
3
2003
Semi-bounded restrictions of Dirac type operators and the unique continuation property. Zbl 1031.58008
Bär, Christian; Strohmaier, Alexander
3
2001
Differential characters and geometric chains. Zbl 1304.53019
Bär, Christian; Becker, Christian
2
2014
Conformal structures in noncommutative geometry. Zbl 1153.58010
Bär, Christian
2
2007
The Dirac determinant of spherical space forms. Zbl 1049.58030
Bär, Christian; Schopka, Sven
2
2003
Dependence of the Dirac spectrum on the spin structure. Zbl 0995.58020
Bär, Christian
2
2000
Localization and semibounded energy – a weak unique continuation theorem. Zbl 0969.58007
Bär, Christian
2
2000
Dirac eigenvalues and total scalar curvature. Zbl 0960.58014
Ammann, Bernd; Bär, Christian
2
2000
Upper eigenvalue estimates for Dirac operators. Zbl 0770.53026
Bär, Christian
2
1992
Renormalized integrals and a path integral formula for the heat kernel on a manifold. Zbl 1317.58039
Bär, Christian
1
2012
Wiener measures on Riemannian manifolds and the Feynman-Kac formula. Zbl 1302.58017
Bär, Christian; Pfäffle, Frank
1
2011
\(C^*\)-algebras. Zbl 1185.46037
Bär, Christian; Becker, Christian
1
2009
The spectrum of the Dirac operator. Zbl 1103.58015
Bär, Christian
1
2005
Elliptic symbols. Zbl 0946.58020
Bär, Christian
1
1999
Heat operator and \(\zeta\)-function estimates for surfaces. Zbl 0917.58047
Bär, Christian
1
1998
A remark on positively curved 4-manifolds. Zbl 0796.53039
Bär, Christian
1
1994
The Dirac fundamental tone of the hyperbolic space. Zbl 0757.53020
Bär, Christian
1
1992
An index theorem for Lorentzian manifolds with compact spacelike Cauchy boundary. Zbl 1429.83004
Bär, Christian; Strohmaier, Alexander
6
2019
A rigorous geometric derivation of the chiral anomaly in curved backgrounds. Zbl 1350.81029
Bär, Christian; Strohmaier, Alexander
8
2016
Guide to elliptic boundary value problems for Dirac-type operators. Zbl 1377.58022
Bär, Christian; Ballmann, Werner
6
2016
Green-hyperbolic operators on globally hyperbolic spacetimes. Zbl 1316.58027
Bär, Christian
27
2015
Initial value problems for wave equations on manifolds. Zbl 1338.58018
Bär, Christian; Wafo, Roger Tagne
6
2015
Geometrically formal 4-manifolds with nonnegative sectional curvature. Zbl 1319.53027
Bär, Christian
3
2015
Differential characters. Zbl 1296.58002
Bär, Christian; Becker, Christian
7
2014
Differential characters and geometric chains. Zbl 1304.53019
Bär, Christian; Becker, Christian
2
2014
Classical and quantum fields on Lorentzian manifolds. Zbl 1254.81044
Bär, Christian; Ginoux, Nicolas
19
2012
Boundary value problems for elliptic differential operators of first order. Zbl 1331.58022
Bär, Christian; Ballmann, Werner
16
2012
CCR- versus CAR-quantization on curved spacetimes. Zbl 1250.81073
Bär, Christian; Ginoux, Nicolas
5
2012
Renormalized integrals and a path integral formula for the heat kernel on a manifold. Zbl 1317.58039
Bär, Christian
1
2012
Wiener measures on Riemannian manifolds and the Feynman-Kac formula. Zbl 1302.58017
Bär, Christian; Pfäffle, Frank
1
2011
Stochastic completeness and volume growth. Zbl 1201.58024
Bär, Christian; Bessa, G. Pacelli
6
2010
Asymptotic heat kernel expansion in the semi-classical limit. Zbl 1211.58018
Bär, Christian; Pfäffle, Frank
5
2010
Elementary differential geometry. 2nd revised and enlarged ed. Zbl 1191.53001
Bär, Christian
4
2010
Quantum field theory on curved spacetimes. Concepts and mathematical foundations. Extended lecture notes of the compact course quantum field theory on curved spacetimes, Potsdam, Germany, October 2007. Zbl 1178.81003
Bär, Christian (ed.); Fredenhagen, Klaus (ed.)
18
2009
Spectral bounds for Dirac operators on open manifolds. Zbl 1193.53119
Bär, Christian
6
2009
\(C^*\)-algebras. Zbl 1185.46037
Bär, Christian; Becker, Christian
1
2009
Path integrals on manifolds by finite dimensional approximation. Zbl 1165.58015
Bär, Christian; Pfäffle, Frank
4
2008
Wave equations on Lorentzian manifolds and quantization. Zbl 1118.58016
Bär, Christian; Ginoux, Nicolas; Pfäffle, Frank
87
2007
Conformal structures in noncommutative geometry. Zbl 1153.58010
Bär, Christian
2
2007
Generalized cylinders in semi-Riemannian and spin geometry. Zbl 1068.53030
Bär, Christian; Gauduchon, Paul; Moroianu, Andrei
53
2005
The spectrum of the Dirac operator. Zbl 1103.58015
Bär, Christian
1
2005
The first Dirac eigenvalues on manifolds with positive scalar curvature. Zbl 1053.58012
Bär, Christian; Dahl, Mattias
4
2004
Small eigenvalues of the conformal Laplacian. Zbl 1030.58003
Bär, Christian; Dahl, Matthias
4
2003
Heat kernel asymptotics for roots of generalized Laplacians. Zbl 1079.58020
Bär, Christian; Moroianu, Sergiu
3
2003
The Dirac determinant of spherical space forms. Zbl 1049.58030
Bär, Christian; Schopka, Sven
2
2003
Surgery and the spectrum of the Dirac operator. Zbl 1017.58019
Bär, Christian; Dahl, Mattias
13
2002
Dirac eigenvalue estimates on surfaces. Zbl 1007.58014
Ammann, Bernd; Bär, Christian
8
2002
The Einstein-Hilbert action as a spectral action. Zbl 1255.81218
Ammann, Bernd; Bär, Christian
4
2002
Semi-bounded restrictions of Dirac type operators and the unique continuation property. Zbl 1031.58008
Bär, Christian; Strohmaier, Alexander
3
2001
The Dirac operator on hyperbolic manifolds of finite volume. Zbl 1030.58021
Bär, Christian
17
2000
Dependence of the Dirac spectrum on the spin structure. Zbl 0995.58020
Bär, Christian
2
2000
Localization and semibounded energy – a weak unique continuation theorem. Zbl 0969.58007
Bär, Christian
2
2000
Dirac eigenvalues and total scalar curvature. Zbl 0960.58014
Ammann, Bernd; Bär, Christian
2
2000
Zero sets of solutions to semilinear elliptic systems of first order. Zbl 0942.35064
Bär, Christian
38
1999
Elliptic symbols. Zbl 0946.58020
Bär, Christian
1
1999
Extrinsic bounds for eigenvalues of the Dirac operator. Zbl 0921.58065
Bär, Christian
64
1998
The Dirac operator on nilmanifolds and collapsing circle bundles. Zbl 0911.58037
Ammann, Bernd; Bär, Christian
21
1998
On harmonic spinors. Zbl 1010.58016
Bär, C.
4
1998
Heat operator and \(\zeta\)-function estimates for surfaces. Zbl 0917.58047
Bär, Christian
1
1998
On Nodal Sets for Dirac and Laplace Operators. Zbl 0888.47028
Bär, Christian
23
1997
Harmonic spinors for twisted Dirac operators. Zbl 0889.53025
Bär, Christian
4
1997
Metrics with harmonic spinors. Zbl 0867.53037
Bär, C.
39
1996
The Dirac operator on space forms of positive curvature. Zbl 0848.58046
Bär, Christian
33
1996
A remark on positively curved 4-manifolds. Zbl 0796.53039
Bär, Christian
1
1994
Real Killing spinors and holonomy. Zbl 0778.53037
Bär, Christian
125
1993
Lower eigenvalue estimates for Dirac operators. Zbl 0741.58046
Bär, Christian
27
1992
The Dirac operator on homogeneous spaces and its spectrum on 3- dimensional lens spaces. Zbl 0786.53030
Bär, Christian
18
1992
Harmonic spinors on Riemann surfaces. Zbl 0763.30017
Bär, Christian; Schmutz, Paul
17
1992
Upper eigenvalue estimates for Dirac operators. Zbl 0770.53026
Bär, Christian
2
1992
The Dirac fundamental tone of the hyperbolic space. Zbl 0757.53020
Bär, Christian
1
1992
The spectrum of Dirac operators. Zbl 0748.53022
Bär, Christian
5
1990
all top 5

Cited by 552 Authors

19 Dappiaggi, Claudio
16 Ammann, Bernd Eberhard
16 Bär, Christian
16 Moroianu, Andrei
14 Ginoux, Nicolas
12 Benini, Marco
12 Nakad, Roger
11 Habib, Georges
11 Roth, Julien
11 Schenkel, Alexander
10 Semmelmann, Uwe
9 Branding, Volker
9 Große, Nadine
9 Pinamonti, Nicola
8 Drago, Nicolò
8 Lee, Yoonweon
8 Moroianu, Sergiu
7 Fewster, Christopher John
7 Friedrich, Thomas
7 Hijazi, Oussama
7 Humbert, Emmanuel
7 Raulot, Simon
7 Verch, Rainer
6 Bayard, Pierre
6 Chen, Yongfa
6 Conti, Diego
6 Fredenhagen, Klaus
6 Ludewig, Matthias
6 Murro, Simone
6 Sati, Hisham
5 Finster, Felix
5 Hack, Thomas-Paul
5 Jost, Jürgen
5 Kim, Eui Chul
5 Lawn, Marie-Amélie
5 Montiel, Sebastián
5 Rejzner, Kasia
5 Salamon, Simon Montague
5 Sanders, Ko
5 Sitarz, Andrzej
5 Strohmaier, Alexander
5 Zahn, Jochen
5 Zhu, Miaomiao
4 Baum, Helga
4 Chen, Daguang
4 Chen, Qun
4 Dabrowski, Ludwik
4 Dahl, Mattias
4 Fröb, Markus B.
4 Kraus, Margarita
4 Leistner, Thomas
4 Müller, Olaf
4 Wrochna, Michał
4 Zabzine, Maxim
3 Agricola, Ilka
3 Alexandrov, Bogdan
3 Arrizabalaga, Naiara
3 Ballmann, Hans Werner
3 Cekić, Mihajlo
3 Coriasco, Sandro
3 El Chami, Fida
3 Enciso, Alberto
3 Goette, Sebastian
3 Grady, Daniel
3 Hollands, Stefan
3 Huang, Rung-Tzung
3 Kamran, Niky
3 Kath, Ines
3 Lazaroiu, Calin Iuliu
3 Le Treust, Loïc
3 Loya, Paul A.
3 Marcolli, Matilde
3 Morel, Bertrand
3 Nowaczyk, Nikolai
3 Pfäffle, Frank Jochen
3 Pigola, Stefano
3 Qiu, Jian
3 Raymond, Nicolas
3 Setti, Alberto G.
3 Shahbazi, Carlos S.
3 Vassiliev, Dmitri G.
3 Wang, Guofang
3 Witt, Frederik
2 Agranovsky, Mark L.
2 Amann, Manuel
2 Avramidi, Ivan G.
2 Bakas, Ioannis
2 Battisti, Ubertino
2 Becker, Christian
2 Behrndt, Jussi
2 Behrndt, Klaus
2 Booss-Bavnbek, Bernhelm
2 Braverman, Maxim
2 Brouder, Christian
2 Brunetti, Romeo
2 Capoferri, Matteo
2 Cortés, Vicente
2 Cvetič, Mirjam
2 Dang, Nguyen Viet
2 de Freitas Leão, Rafael
...and 452 more Authors
all top 5

Cited in 119 Serials

74 Journal of Geometry and Physics
57 Communications in Mathematical Physics
32 Annals of Global Analysis and Geometry
23 Journal of High Energy Physics
21 Journal of Mathematical Physics
21 Differential Geometry and its Applications
18 Letters in Mathematical Physics
17 Mathematische Zeitschrift
17 Annales Henri Poincaré
13 Reviews in Mathematical Physics
12 Transactions of the American Mathematical Society
12 The Journal of Geometric Analysis
11 Calculus of Variations and Partial Differential Equations
9 International Journal of Geometric Methods in Modern Physics
8 Nuclear Physics. B
8 Manuscripta Mathematica
8 International Journal of Mathematics
8 Mathematical Physics, Analysis and Geometry
7 Journal of Functional Analysis
6 Advances in Mathematics
6 Journal of Noncommutative Geometry
5 Results in Mathematics
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Classical and Quantum Gravity
4 Journal of Mathematical Analysis and Applications
4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
4 Annales de l’Institut Fourier
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Duke Mathematical Journal
4 Mathematische Annalen
4 Potential Analysis
4 Geometry & Topology
3 International Journal of Modern Physics A
3 General Relativity and Gravitation
3 Fortschritte der Physik
3 Compositio Mathematica
3 Geometriae Dedicata
3 Journal für die Reine und Angewandte Mathematik
3 Proceedings of the American Mathematical Society
3 Geometric and Functional Analysis. GAFA
3 Communications in Partial Differential Equations
3 Advances in Applied Clifford Algebras
2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
2 Archiv der Mathematik
2 Chinese Annals of Mathematics. Series B
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Journal of the European Mathematical Society (JEMS)
2 Communications in Contemporary Mathematics
2 Central European Journal of Mathematics
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
2 Frontiers of Mathematics in China
2 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
2 Journal of Spectral Theory
1 Modern Physics Letters A
1 Archive for Rational Mechanics and Analysis
1 Inverse Problems
1 Mathematical Notes
1 Nonlinearity
1 Physics Letters. A
1 Physics Letters. B
1 Physics Reports
1 Reports on Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 Theoretical and Mathematical Physics
1 Annales Polonici Mathematici
1 Canadian Journal of Mathematics
1 Illinois Journal of Mathematics
1 Indiana University Mathematics Journal
1 Journal of Differential Equations
1 Journal of Differential Geometry
1 Journal of Geometry
1 Journal of the London Mathematical Society. Second Series
1 Journal of the Mathematical Society of Japan
1 Mathematische Nachrichten
1 Memoirs of the American Mathematical Society
1 Osaka Journal of Mathematics
1 Pacific Journal of Mathematics
1 Proceedings of the London Mathematical Society. Third Series
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Topology and its Applications
1 Revista Matemática Iberoamericana
1 Annals of Physics
1 Indagationes Mathematicae. New Series
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 International Journal of Modern Physics D
1 Selecta Mathematica. New Series
1 Discrete and Continuous Dynamical Systems
1 Documenta Mathematica
1 Transformation Groups
1 Annals of Mathematics. Second Series
1 Acta Mathematica Sinica. English Series
1 Living Reviews in Relativity
1 Lobachevskii Journal of Mathematics
1 Advances in Geometry
1 Journal of Applied Mathematics
1 Communications on Pure and Applied Analysis
1 Journal of the Institute of Mathematics of Jussieu
1 Mediterranean Journal of Mathematics
1 Foundations of Physics
...and 19 more Serials
all top 5

Cited in 50 Fields

322 Differential geometry (53-XX)
232 Global analysis, analysis on manifolds (58-XX)
169 Quantum theory (81-XX)
111 Partial differential equations (35-XX)
86 Relativity and gravitational theory (83-XX)
46 Manifolds and cell complexes (57-XX)
43 Functional analysis (46-XX)
21 Several complex variables and analytic spaces (32-XX)
18 Algebraic geometry (14-XX)
17 Operator theory (47-XX)
12 Mechanics of particles and systems (70-XX)
11 Topological groups, Lie groups (22-XX)
9 Statistical mechanics, structure of matter (82-XX)
8 Ordinary differential equations (34-XX)
8 Algebraic topology (55-XX)
7 Number theory (11-XX)
7 Nonassociative rings and algebras (17-XX)
7 Functions of a complex variable (30-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
5 \(K\)-theory (19-XX)
4 General and overarching topics; collections (00-XX)
4 Associative rings and algebras (16-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Approximations and expansions (41-XX)
4 Probability theory and stochastic processes (60-XX)
4 Astronomy and astrophysics (85-XX)
3 Combinatorics (05-XX)
3 Category theory; homological algebra (18-XX)
3 Real functions (26-XX)
3 Difference and functional equations (39-XX)
3 Geometry (51-XX)
2 Commutative algebra (13-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Group theory and generalizations (20-XX)
2 Potential theory (31-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Abstract harmonic analysis (43-XX)
2 Integral transforms, operational calculus (44-XX)
2 General topology (54-XX)
2 Numerical analysis (65-XX)
2 Optics, electromagnetic theory (78-XX)
2 Information and communication theory, circuits (94-XX)
1 Measure and integration (28-XX)
1 Special functions (33-XX)
1 Integral equations (45-XX)
1 Computer science (68-XX)
1 Fluid mechanics (76-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Biology and other natural sciences (92-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.