# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 45 Publications since 1977, including 2 Books Reviewing Activity: 197 Reviews
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#### Co-Authors

 19 single-authored 20 Kühnel, Wolfgang 2 Matveev, Vladimir S. 1 Belgun, Florin Alexandru 1 Ginoux, Nicolas 1 Hingston, Nancy 1 Papadopoulos, Athanase 1 Rademacher, Christine 1 Sabau, Sorin Vasile 1 Troyanov, Marc 1 Zeghib, Abdelghani
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#### Serials

 3 Mathematische Annalen 2 Annales de l’Institut Fourier 2 Journal of Differential Geometry 2 Mathematische Zeitschrift 2 Results in Mathematics 2 Differential Geometry and its Applications 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Communications in Mathematical Physics 1 General Relativity and Gravitation 1 Letters in Mathematical Physics 1 Archiv der Mathematik 1 Geometriae Dedicata 1 Illinois Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Nachrichten 1 Proceedings of the American Mathematical Society 1 Tohoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Ergodic Theory and Dynamical Systems 1 Zeitschrift für Analysis und ihre Anwendungen 1 International Journal of Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Journal of Mathematical Sciences. University of Tokyo 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bonner Mathematische Schriften 1 Journal of Fixed Point Theory and Applications 1 Frontiers of Mathematics in China 1 European Journal of Mathematics
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#### Fields

 44 Differential geometry (53-XX) 15 Global analysis, analysis on manifolds (58-XX) 5 Relativity and gravitational theory (83-XX) 2 Manifolds and cell complexes (57-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX)

#### Citations contained in zbMATH

38 Publications have been cited 408 times in 236 Documents Cited by Year
A sphere theorem for non-reversible Finsler metrics. Zbl 1050.53063
2004
On the average indices of closed geodesics. Zbl 0658.53042
1989
Conformal vector fields on pseudo-Riemannian spaces. Zbl 0901.53048
1997
Existence of closed geodesics on positively curved Finsler manifolds. Zbl 1124.53018
2007
Morse theory and closed geodesics. Zbl 0826.58012
1992
Finsler conformal Lichnerowicz-Obata conjecture. Zbl 1179.53075
Matveev, V. S.; Rademacher, H.-B.; Troyanov, M.; Zeghib, A.
2009
The second closed geodesic on Finsler spheres of dimension $$n > 2$$. Zbl 1189.53039
2010
Conformal diffeomorphisms preserving the Ricci tensor. Zbl 0851.53039
1995
Nonreversible Finsler metrics of positive flag curvature. Zbl 1074.53062
2004
Essential conformal fields in pseudo-Riemannian geometry. Zbl 0873.53047
1995
Essential conformal fields in pseudo-Riemannian geometry. II. Zbl 0902.53046
1997
Twistor spinors with zeros. Zbl 0818.53054
1994
Resonance for loop homology of spheres. Zbl 1285.53031
2013
On a generic property of geodesic flows. Zbl 0813.53029
1994
Einstein spaces with a conformal group. Zbl 1187.53046
2009
Conformal transformations of pseudo-Riemannian manifolds. Zbl 1155.53037
2008
Conformal Ricci collineations of space-times. Zbl 0998.83011
2001
Asymptotically Euclidean manifolds and twistor spinors. Zbl 0929.53023
1998
The second closed geodesic on a complex projective plane. Zbl 1148.53028
2008
Conformal geometry of gravitational plane waves. Zbl 1085.53018
2004
Twistor spinors and gravitational instantons. Zbl 0860.53029
1996
The Fadell-Rabinowitz index and closed geodesics. Zbl 0814.53032
1994
The length of a shortest geodesic loop. Zbl 1146.53027
2008
Liouville’s theorem in conformal geometry. Zbl 1127.53014
2007
Generalized Killing spinors with imaginary Killing function and conformal Killing fields. Zbl 0762.53024
1991
Metrics with only finitely many isometry invariant geodesics. Zbl 0653.53027
1989
A singularity theorem for twistor spinors. Zbl 1128.53026
Belgun, Florin Alexandru; Ginoux, Nicolas; Rademacher, Hans-Bert
2007
Conformal completion of $$\mathbb{U}(n)$$-invariant Ricci-flat Kähler metrics at infinity. Zbl 0870.53040
1997
Bumpy metrics on spheres and minimal index growth. Zbl 1378.53053
2017
Conformally Einstein product spaces. Zbl 1402.53038
2016
On the equivariant Morse chain complex of the space of closed curves. Zbl 0652.58020
1989
Solitons of discrete curve shortening. Zbl 1367.53056
2017
Conformally Einstein spaces revisited. Zbl 1301.53070
2013
Asymptotically Euclidean ends of Ricci flat manifolds, and conformal inversions. Zbl 0985.53031
2000
Conformal Killing field on space-times. Zbl 1161.53359
1999
Twistor spinors on conformally flat manifolds. Zbl 0881.53039
1997
Der äquivariante Morse-Kettenkomplex des Raums der geschlossenen Kurven. Zbl 0617.58017
1987
On the number of closed geodesics on projective spaces. Zbl 0524.53028
1984
Bumpy metrics on spheres and minimal index growth. Zbl 1378.53053
2017
Solitons of discrete curve shortening. Zbl 1367.53056
2017
Conformally Einstein product spaces. Zbl 1402.53038
2016
Resonance for loop homology of spheres. Zbl 1285.53031
2013
Conformally Einstein spaces revisited. Zbl 1301.53070
2013
The second closed geodesic on Finsler spheres of dimension $$n > 2$$. Zbl 1189.53039
2010
Finsler conformal Lichnerowicz-Obata conjecture. Zbl 1179.53075
Matveev, V. S.; Rademacher, H.-B.; Troyanov, M.; Zeghib, A.
2009
Einstein spaces with a conformal group. Zbl 1187.53046
2009
Conformal transformations of pseudo-Riemannian manifolds. Zbl 1155.53037
2008
The second closed geodesic on a complex projective plane. Zbl 1148.53028
2008
The length of a shortest geodesic loop. Zbl 1146.53027
2008
Existence of closed geodesics on positively curved Finsler manifolds. Zbl 1124.53018
2007
Liouville’s theorem in conformal geometry. Zbl 1127.53014
2007
A singularity theorem for twistor spinors. Zbl 1128.53026
Belgun, Florin Alexandru; Ginoux, Nicolas; Rademacher, Hans-Bert
2007
A sphere theorem for non-reversible Finsler metrics. Zbl 1050.53063
2004
Nonreversible Finsler metrics of positive flag curvature. Zbl 1074.53062
2004
Conformal geometry of gravitational plane waves. Zbl 1085.53018
2004
Conformal Ricci collineations of space-times. Zbl 0998.83011
2001
Asymptotically Euclidean ends of Ricci flat manifolds, and conformal inversions. Zbl 0985.53031
2000
Conformal Killing field on space-times. Zbl 1161.53359
1999
Asymptotically Euclidean manifolds and twistor spinors. Zbl 0929.53023
1998
Conformal vector fields on pseudo-Riemannian spaces. Zbl 0901.53048
1997
Essential conformal fields in pseudo-Riemannian geometry. II. Zbl 0902.53046
1997
Conformal completion of $$\mathbb{U}(n)$$-invariant Ricci-flat Kähler metrics at infinity. Zbl 0870.53040
1997
Twistor spinors on conformally flat manifolds. Zbl 0881.53039
1997
Twistor spinors and gravitational instantons. Zbl 0860.53029
1996
Conformal diffeomorphisms preserving the Ricci tensor. Zbl 0851.53039
1995
Essential conformal fields in pseudo-Riemannian geometry. Zbl 0873.53047
1995
Twistor spinors with zeros. Zbl 0818.53054
1994
On a generic property of geodesic flows. Zbl 0813.53029
1994
The Fadell-Rabinowitz index and closed geodesics. Zbl 0814.53032
1994
Morse theory and closed geodesics. Zbl 0826.58012
1992
Generalized Killing spinors with imaginary Killing function and conformal Killing fields. Zbl 0762.53024
1991
On the average indices of closed geodesics. Zbl 0658.53042
1989
Metrics with only finitely many isometry invariant geodesics. Zbl 0653.53027
1989
On the equivariant Morse chain complex of the space of closed curves. Zbl 0652.58020
1989
Der äquivariante Morse-Kettenkomplex des Raums der geschlossenen Kurven. Zbl 0617.58017
1987
On the number of closed geodesics on projective spaces. Zbl 0524.53028
1984
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#### Cited by 245 Authors

 20 Long, Yiming 19 Rademacher, Hans-Bert 12 Duan, Huagui 12 Wang, Wei 9 García-Río, Eduardo 9 Kühnel, Wolfgang 8 Liu, Hui 6 Vázquez-Lorenzo, Ramón 5 Calviño-Louzao, Esteban 5 Frances, Charles 5 Matveev, Vladimir S. 5 Shen, Bin 5 Shen, Yibing 5 Zhao, Wei 4 Brozos-Vázquez, Miguel 4 Gilkey, Peter B. 4 Gover, Ashwin Rod 4 Javaloyes, Miguel Angel 4 Pina, Romildo da Silva 4 Xiao, Yuming 3 Baum, Helga 3 Calvaruso, Giovanni 3 Caponio, Erasmo 3 Deng, Shaoqiang 3 Ginzburg, Viktor L’vovich 3 Gürel, Basak Zehra 3 Huang, Libing 3 Kristály, Alexandru 3 Mazzucchelli, Marco 3 Mo, Xiaohuan 3 Stepanov, Sergeĭ Evgen’evich 3 Tenenblat, Keti 3 Troyanov, Marc 3 Xu, Ming 3 Zaeim, Amirhesam 2 Abreu, Miguel 2 Asselle, Luca 2 Bangert, Victor 2 Belgun, Florin Alexandru 2 Bidabad, Behroz 2 Caminha, Antonio 2 Čap, Andreas 2 Chambers, Gregory R. 2 Chen, Zhiqi 2 Fernández-López, Manuel 2 Geiges, Hansjörg 2 Ginoux, Nicolas 2 Große, Nadine 2 Gutiérrez, Manuel 2 Habermann, Katharina 2 Hammerl, Matthias 2 Hingston, Nancy 2 Hryniewicz, Umberto L. 2 Kröncke, Klaus 2 Leitner, Felipe 2 Liokumovich, Yevgeny 2 Lischewski, Andree 2 Liu, Chungen 2 Lu, Guangcun 2 Macarini, Leonardo 2 Masiello, Antonio 2 Mikeš, Josef 2 Morbidelli, Daniele 2 Moroianu, Andrei 2 Nakad, Roger 2 Olea, Benjamín 2 Piccione, Paolo 2 Santoro Salomão, Pedro AntonioA. S. 2 Seoane-Bascoy, Javier 2 Shenawy, Sameh 2 Shiohama, Katsuhiro 2 Syied, Noha 2 Taimanov, Iskander Asanovich 2 Valle-Regueiro, Xabier 2 Vázquez Abal, María Elena 2 Vertman, Boris 2 Vincze, Csaba 2 Vitório, Henrique 2 Wu, Bingye 2 Wylie, William C. 1 Ahangari, Fatemeh 1 Aldea, Nicoleta 1 Aleksandrova, I. A. 1 Ali, Ahmad Tawfik 1 Asanjarani, Azam 1 Asanov, Gennadii S. 1 Bahrampour, Yousef 1 Barbosa Gomes, José 1 Barthelmé, Thomas 1 Basu, Samik 1 Basu, Somnath 1 Batat, Wafaa 1 Bertola, Marco 1 Bessa, Mário 1 Bohle, Christoph 1 Bryant, Robert L. 1 Camargo, Fernanda Ester Camillo 1 Cardona, Sergio Andres Holguin 1 Catalano, Domenico A. 1 Chen, Xiaoyang ...and 145 more Authors
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#### Cited in 94 Serials

 21 Differential Geometry and its Applications 19 Journal of Geometry and Physics 11 Calculus of Variations and Partial Differential Equations 8 Advances in Mathematics 8 Mathematische Annalen 7 Annals of Global Analysis and Geometry 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 International Journal of Mathematics 6 European Journal of Mathematics 5 Geometriae Dedicata 5 Journal of Differential Equations 5 Transactions of the American Mathematical Society 4 Israel Journal of Mathematics 4 Journal of Mathematical Analysis and Applications 4 Journal of Mathematical Physics 4 Journal of Functional Analysis 4 Proceedings of the American Mathematical Society 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Annales de l’Institut Fourier 3 Archiv der Mathematik 3 Duke Mathematical Journal 3 Journal of Geometry 3 Mathematische Nachrichten 3 The Journal of Geometric Analysis 3 Advanced Nonlinear Studies 3 International Journal of Geometric Methods in Modern Physics 3 Frontiers of Mathematics in China 2 Manuscripta Mathematica 2 Mathematische Zeitschrift 2 Osaka Journal of Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Geometry & Topology 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Journal of Fixed Point Theory and Applications 2 Journal of Topology and Analysis 2 Advances in Mathematical Physics 2 Science China. Mathematics 1 Communications in Mathematical Physics 1 General Relativity and Gravitation 1 Letters in Mathematical Physics 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Reports on Mathematical Physics 1 Russian Mathematical Surveys 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Polonici Mathematici 1 Collectanea Mathematica 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Illinois Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Geometry 1 Journal of the Korean Mathematical Society 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 Tohoku Mathematical Journal. Second Series 1 Zeitschrift für Analysis und ihre Anwendungen 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematica Hungarica 1 Revista Matemática Iberoamericana 1 Geometric and Functional Analysis. GAFA 1 Linear Algebra and its Applications 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 Journal of Mathematical Sciences (New York) 1 Journal of the Egyptian Mathematical Society 1 Discrete and Continuous Dynamical Systems 1 Arab Journal of Mathematical Sciences 1 Transformation Groups 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Revista Matemática Complutense 1 Annals of Mathematics. Second Series 1 Regular and Chaotic Dynamics 1 Acta Mathematica Sinica. English Series 1 Journal of High Energy Physics 1 Lobachevskii Journal of Mathematics 1 DGDS. Differential Geometry – Dynamical Systems 1 Algebraic & Geometric Topology 1 Mediterranean Journal of Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Afrika Matematika 1 Numerical Algebra, Control and Optimization 1 ISRN Geometry 1 Axioms 1 Communications in Mathematics and Statistics 1 Arnold Mathematical Journal 1 Korean Journal of Mathematics
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#### Cited in 23 Fields

 221 Differential geometry (53-XX) 74 Global analysis, analysis on manifolds (58-XX) 30 Dynamical systems and ergodic theory (37-XX) 14 Relativity and gravitational theory (83-XX) 9 Manifolds and cell complexes (57-XX) 7 Ordinary differential equations (34-XX) 6 Partial differential equations (35-XX) 5 Topological groups, Lie groups (22-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Algebraic topology (55-XX) 4 Functions of a complex variable (30-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Real functions (26-XX) 3 Geometry (51-XX) 3 Convex and discrete geometry (52-XX) 3 Mechanics of particles and systems (70-XX) 3 Quantum theory (81-XX) 2 Nonassociative rings and algebras (17-XX) 2 Functional analysis (46-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Computer science (68-XX) 1 Biology and other natural sciences (92-XX)

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