Compute Distance To:
 Documents Indexed: 47 Publications since 1984, including 2 Books 1 Contribution as Editor Reviewing Activity: 205 Reviews Co-Authors: 11 Co-Authors with 28 Joint Publications 366 Co-Co-Authors
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### Co-Authors

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

 4 Journal of Differential Geometry 3 Mathematische Annalen 3 Mathematische Zeitschrift 2 Annales de l’Institut Fourier 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 Geometry 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Nachrichten 1 Proceedings of the American Mathematical Society 1 Tôhoku 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

 48 Differential geometry (53-XX) 17 Global analysis, analysis on manifolds (58-XX) 5 Relativity and gravitational theory (83-XX) 3 Manifolds and cell complexes (57-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX)

### Citations contained in zbMATH Open

40 Publications have been cited 462 times in 273 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. (Morse-Theorie und geschlossene Geodätische.) Zbl 0826.58012
1992
Conformal diffeomorphisms preserving the Ricci tensor. Zbl 0851.53039
1995
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
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
Resonance for loop homology of spheres. Zbl 1285.53031
2013
On a generic property of geodesic flows. Zbl 0813.53029
1994
Twistor spinors with zeros. Zbl 0818.53054
1994
Conformal transformations of pseudo-Riemannian manifolds. Zbl 1155.53037
2008
Conformal Ricci collineations of space-times. Zbl 0998.83011
2001
Einstein spaces with a conformal group. Zbl 1187.53046
2009
Conformal geometry of gravitational plane waves. Zbl 1085.53018
2004
Asymptotically Euclidean manifolds and twistor spinors. Zbl 0929.53023
1998
Liouville’s theorem in conformal geometry. Zbl 1127.53014
2007
The Fadell-Rabinowitz index and closed geodesics. Zbl 0814.53032
1994
The second closed geodesic on a complex projective plane. Zbl 1148.53028
2008
Twistor spinors and gravitational instantons. Zbl 0860.53029
1996
Generalized Killing spinors with imaginary Killing function and conformal Killing fields. Zbl 0762.53024
1991
The length of a shortest geodesic loop. Zbl 1146.53027
2008
Metrics with only finitely many isometry invariant geodesics. Zbl 0653.53027
1989
Conformal completion of $$\mathbb{U}(n)$$-invariant Ricci-flat Kähler metrics at infinity. Zbl 0870.53040
1997
Conformally Einstein product spaces. Zbl 1402.53038
2016
A singularity theorem for twistor spinors. Zbl 1128.53026
Belgun, Florin Alexandru; Ginoux, Nicolas; Rademacher, Hans-Bert
2007
Bumpy metrics on spheres and minimal index growth. Zbl 1378.53053
2017
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
Closed geodesics on connected sums and $$3$$-manifolds. Zbl 07523607
2022
Twistor spinors on conformally flat manifolds. Zbl 0881.53039
1997
Der äquivariante Morse-Kettenkomplex des Raums der geschlossenen Kurven. Zbl 0617.58017
1987
Asymptotically Euclidean ends of Ricci flat manifolds, and conformal inversions. Zbl 0985.53031
2000
Conformal Killing field on space-times. Zbl 1161.53359
1999
Editors’ foreword for the special issue “Finsler geometry, new methods and perspectives”. Zbl 1384.00079
2017
On the number of closed geodesics on projective spaces. Zbl 0524.53028
1984
Conformally Einstein spaces revisited. Zbl 1301.53070
2013
Closed geodesics on connected sums and $$3$$-manifolds. Zbl 07523607
2022
Bumpy metrics on spheres and minimal index growth. Zbl 1378.53053
2017
Solitons of discrete curve shortening. Zbl 1367.53056
2017
Editors’ foreword for the special issue “Finsler geometry, new methods and perspectives”. Zbl 1384.00079
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
On a generic property of geodesic flows. Zbl 0813.53029
1994
Twistor spinors with zeros. Zbl 0818.53054
1994
The Fadell-Rabinowitz index and closed geodesics. Zbl 0814.53032
1994
Morse theory and closed geodesics. (Morse-Theorie und geschlossene Geodätische.) 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 265 Authors

 22 Rademacher, Hans-Bert 20 Long, Yiming 14 Wang, Wei 13 Duan, Huagui 10 García-Río, Eduardo 9 Kühnel, Wolfgang 9 Liu, Hui 7 Matveev, Vladimir S. 7 Vázquez-Lorenzo, Ramón 7 Zhao, Wei 5 Calviño-Louzao, Esteban 5 Frances, Charles 5 Kristály, Alexandru 5 Mazzucchelli, Marco 5 Shen, Bin 5 Shen, Yibing 4 Brozos-Vázquez, Miguel 4 Calvaruso, Giovanni 4 Gilkey, Peter B. 4 Ginzburg, Viktor L’vovich 4 Gover, Ashwin Rod 4 Gürel, Basak Zehra 4 Javaloyes, Miguel Angel 4 Pina, Romildo da Silva 4 Shenawy, Sameh 4 Stepanov, Sergeĭ Evgen’evich 4 Taimanov, Iskander Asanovich 4 Xiao, Yuming 4 Xu, Ming 4 Zaeim, Amirhesam 3 Abreu, Miguel 3 Baum, Helga 3 Caponio, Erasmo 3 Chen, Zhiqi 3 Deng, Shaoqiang 3 El-Sayied, Hoda Kamal Mohamed 3 Huang, Libing 3 Kröncke, Klaus 3 Macarini, Leonardo 3 Mikeš, Josef 3 Mo, Xiaohuan 3 Olea, Benjamín 3 Syied, Noha 3 Tenenblat, Keti 3 Troyanov, Marc 3 Wylie, William C. 2 Asanov, Gennadii S. 2 Asselle, Luca 2 Bangert, Victor 2 Belgun, Florin Alexandru 2 Bidabad, Behroz 2 Caminha, Antonio 2 Čap, Andreas 2 Chambers, Gregory R. 2 Cherif, Ahmed Mohammed 2 Deshmukh, Sharief 2 Farkas, Csaba 2 Fernández-López, Manuel 2 Geiges, Hansjörg 2 Ginoux, Nicolas 2 Große, Nadine 2 Gutiérrez-Rodríguez, Ixchel 2 Gutiérrez, Manuel 2 Habermann, Katharina 2 Hammerl, Matthias 2 Hingston, Nancy 2 Hryniewicz, Umberto L. 2 Leitner, Felipe 2 Liokumovich, Yevgeny 2 Lischewski, Andree 2 Liu, Chungen 2 Masiello, Antonio 2 Mester, Agnes 2 Morbidelli, Daniele 2 Moroianu, Andrei 2 Naitsat, Alexander 2 Nakad, Roger 2 Peter, Ioan Radu 2 Piccione, Paolo 2 Salomão, Pedro Antonio Santoro 2 Seoane-Bascoy, Javier 2 Sharma, Ramesh 2 Shiohama, Katsuhiro 2 Valle-Regueiro, Xabier 2 Varga, Csaba György 2 Vázquez Abal, María Elena 2 Vertman, Boris 2 Vincze, Csaba 2 Vitório, Henrique 2 Wu, Bingye 1 Ahangari, Fatemeh 1 Aldea, Nicoleta 1 Aleksandrova, I. A. 1 Ali, Ahmad Tawfik 1 Amini, Marzeiya 1 Ammann, Bernd Eberhard 1 Asanjarani, Azam 1 Atindogbe, Cyriaque 1 Barbosa Gomes, José 1 Barthelmé, Thomas ...and 165 more Authors
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### Cited in 107 Serials

 23 Differential Geometry and its Applications 19 Journal of Geometry and Physics 12 Calculus of Variations and Partial Differential Equations 8 Advances in Mathematics 8 Mathematische Annalen 7 Annals of Global Analysis and Geometry 7 European Journal of Mathematics 6 Transactions of the American Mathematical Society 6 International Journal of Mathematics 5 Geometriae Dedicata 5 Journal of Differential Equations 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Israel Journal of Mathematics 4 Journal of Mathematical Analysis and Applications 4 Journal of Mathematical Physics 4 Journal of Functional Analysis 4 Journal of Geometry 4 Proceedings of the American Mathematical Society 4 The Journal of Geometric Analysis 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Journal of Fixed Point Theory and Applications 3 Annales de l’Institut Fourier 3 Archiv der Mathematik 3 Duke Mathematical Journal 3 Mathematische Nachrichten 3 Mathematische Zeitschrift 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Acta Mathematica Sinica. English Series 3 Advanced Nonlinear Studies 3 International Journal of Geometric Methods in Modern Physics 3 Frontiers of Mathematics in China 3 Science China. Mathematics 2 Classical and Quantum Gravity 2 Communications in Mathematical Physics 2 General Relativity and Gravitation 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Journal of Differential Geometry 2 Manuscripta Mathematica 2 Osaka Journal of Mathematics 2 Results in Mathematics 2 Tôhoku Mathematical Journal. Second Series 2 Journal of Mathematical Sciences (New York) 2 Discrete and Continuous Dynamical Systems 2 Geometry & Topology 2 Lobachevskii Journal of Mathematics 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Mediterranean Journal of Mathematics 2 Journal of Topology and Analysis 2 Advances in Mathematical Physics 1 Letters in Mathematical Physics 1 Mathematical Notes 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 Algebra 1 Journal of Computational and Applied Mathematics 1 Journal of the Korean Mathematical Society 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Kyungpook Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Ergodic Theory and Dynamical Systems 1 Zeitschrift für Analysis und ihre Anwendungen 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematica Hungarica 1 Bulletin of the Iranian Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 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 Imaging and Vision 1 Journal of the Egyptian Mathematical Society 1 Filomat 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 Journal of High Energy Physics 1 DGDS. Differential Geometry – Dynamical Systems 1 Advances in Geometry 1 Algebraic & Geometric Topology 1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 1 Journal of Dynamical Systems and Geometric Theories 1 Journal of Cosmology and Astroparticle Physics 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 Analysis and Mathematical Physics ...and 7 more Serials
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### Cited in 27 Fields

 253 Differential geometry (53-XX) 82 Global analysis, analysis on manifolds (58-XX) 33 Dynamical systems and ergodic theory (37-XX) 19 Relativity and gravitational theory (83-XX) 10 Manifolds and cell complexes (57-XX) 7 Ordinary differential equations (34-XX) 6 Topological groups, Lie groups (22-XX) 6 Partial differential equations (35-XX) 5 Functions of a complex variable (30-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Algebraic topology (55-XX) 5 Quantum theory (81-XX) 4 Real functions (26-XX) 4 Geometry (51-XX) 4 Mechanics of particles and systems (70-XX) 3 Nonassociative rings and algebras (17-XX) 3 Functional analysis (46-XX) 3 Convex and discrete geometry (52-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)

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