Edit Profile (opens in new tab) Bangert, Victor Compute Distance To: Compute Author ID: bangert.victor Published as: Bangert, Victor; Bangert, V. External Links: MGP · Wikidata · GND Documents Indexed: 46 Publications since 1978 2 Contributions as Editor Co-Authors: 17 Co-Authors with 20 Joint Publications 372 Co-Co-Authors all top 5 Co-Authors 28 single-authored 5 Katz, Mikhail G. 2 Auer, Franz 2 Burago, Yuriĭ Dmitrievich 2 Croke, Christopher B. 2 Emmerich, Patrick 2 Gutkin, Eugene 2 Ivanov, Sergei Vladimirovich 2 Pinkall, Ulrich 1 Cui, Xiaojun 1 Hingston, Nancy 1 Klingenberg, Wilhelm P. A. 1 Lang, Urs 1 Long, Yiming 1 Röttgen, Nena-Maria 1 Schröder, Viktor M. H. 1 Shnider, Steven 1 Weinberger, Shmuel all top 5 Serials 3 Archiv der Mathematik 3 Commentarii Mathematici Helvetici 3 Journal of Differential Geometry 3 Mathematische Annalen 3 Calculus of Variations and Partial Differential Equations 2 Duke Mathematical Journal 2 Geometriae Dedicata 2 Mathematische Zeitschrift 2 Geometric and Functional Analysis. GAFA 2 Communications in Analysis and Geometry 2 Oberwolfach Reports 1 Communications on Pure and Applied Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 American Journal of Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Compositio Mathematica 1 Inventiones Mathematicae 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Topology 1 Transactions of the American Mathematical Society 1 Ergodic Theory and Dynamical Systems 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 International Journal of Mathematics 1 Aequationes Mathematicae 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique all top 5 Fields 44 Differential geometry (53-XX) 19 Global analysis, analysis on manifolds (58-XX) 11 Dynamical systems and ergodic theory (37-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 5 Convex and discrete geometry (52-XX) 5 Manifolds and cell complexes (57-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic topology (55-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Geometry (51-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 45 Publications have been cited 689 times in 465 Documents Cited by ▼ Year ▼ Mather sets for twist maps and geodesics on tori. Zbl 0664.53021Bangert, V. 99 1988 On the existence of closed geodesics on two-spheres. Zbl 0791.53048Bangert, Victor 61 1993 The existence of two closed geodesics on every Finsler 2-sphere. Zbl 1187.53040Bangert, Victor; Long, Yiming 56 2010 On minimal laminations of the torus. Zbl 0678.58014Bangert, V. 36 1989 Minimal geodesics. Zbl 0676.53055Bangert, Victor 35 1990 Geodesic rays, Busemann functions and monotone twist maps. Zbl 0794.58010Bangert, Victor 34 1994 Homology generated by iterated closed geodesics. Zbl 0525.58015Bangert, V.; Klingenberg, W. 27 1983 Analytische Eigenschaften konvexer Funktionen auf Riemannschen Mannigfaltigkeiten. Zbl 0396.52007Bangert, Victor 25 1979 A uniqueness theorem for \(Z^ n\)-periodic variational problems. Zbl 0634.49018Bangert, V. 23 1987 Closed geodesics on complete surfaces. Zbl 0422.53024Bangert, Victor 23 1980 The existence of gaps in minimal foliations. Zbl 0645.58017Bangert, V. 20 1987 Minimal measures and minimizing closed normal one-currents. Zbl 0973.58004Bangert, V. 19 1999 Geodätische Linien auf Riemannschen Mannigfaltigkeiten. Zbl 0565.53028Bangert, V. 19 1985 Closed geodesics on manifolds with infinite Abelian fundamental group. Zbl 0545.53036Bangert, Victor; Hingston, Nancy 16 1984 Sets with positive reach. Zbl 0453.53014Bangert, Victor 15 1982 Existence of flat tori in analytic manifolds of nonpositive curvature. Zbl 0760.53032Bangert, V.; Schroeder, V. 14 1991 An optimal Loewner-type systolic inequality and harmonic one-forms of constant norm. Zbl 1068.53027Bangert, Victor; Katz, Mikhail 14 2004 Boundary case of equality in optimal Loewner-type inequalities. Zbl 1122.53020Bangert, Victor; Croke, Christopher; Ivanov, Sergei V.; Katz, Mikhail G. 13 2007 \(E_7\), Wirtinger inequalities, Cayley 4-form, and homotopy. Zbl 1160.53023Bangert, Victor; Katz, Mikhail G.; Shnider, Steven; Weinberger, Shmuel 12 2009 Stable systolic inequalities and cohomology products. Zbl 1038.53031Bangert, Victor; Katz, Mikhail 11 2003 Insecurity for compact surfaces of positive genus. Zbl 1202.53044Bangert, Victor; Gutkin, Eugene 11 2010 Trapping quasiminimizing submanifolds in spaces of negative curvature. Zbl 0856.53047Bangert, Victor; Lang, Urs 10 1996 Filling area conjecture and ovalless real hyperelliptic surfaces. Zbl 1082.53033Bangert, V.; Croke, C.; Ivanov, S.; Katz, M. 10 2005 Totally convex sets in complete Riemannian manifolds. Zbl 0479.53032Bangert, Victor 9 1981 Area growth and rigidity of surfaces without conjugate points. Zbl 1278.53038Bangert, Victor; Emmerich, Patrick 9 2013 Riemannsche Mannigfaltigkeiten mit nicht-konstanter konvexer Funktion. Zbl 0372.53021Bangert, Victor 8 1978 Differentiability of the stable norm in codimension one. Zbl 1095.53050Auer, Franz; Bangert, Victor 7 2006 Über die Approximation von lokal konvexen Mengen. Zbl 0392.53027Bangert, Victor 7 1978 On the lengths of closed geodesics on almost round spheres. Zbl 0595.53049Bangert, Victor 5 1986 Existence of a complex line in tame almost complex tori. Zbl 0981.53084Bangert, Victor 4 1998 On the flatness of Riemannian cylinders without conjugate points. Zbl 1260.53065Bangert, Victor; Emmerich, Patrick 4 2011 Laminations of 3-tori by least area surfaces. Zbl 0697.58012Bangert, V. 4 1990 On the existence of escaping geodesics. Zbl 0462.58013Bangert, Victor 4 1981 Konvexe Mengen in Riemannschen Mannigfaltigkeiten. Zbl 0369.52006Bangert, Victor 4 1978 Minimising currents and the stable norm in codimension one. Zbl 1008.53058Auer, Franz; Bangert, Victor 4 2001 Minimal foliations and laminations. Zbl 0849.58017Bangert, Victor 3 1995 On 2-tori having a pole. Zbl 1239.53034Bangert, Victor 3 2011 Geodesics and totally convex sets on surfaces. Zbl 0443.53034Bangert, Victor 2 1981 Isoperimetric inequalities for minimal submanifolds in Riemannian manifolds: a counterexample in higher codimension. Zbl 1263.49056Bangert, Victor; Röttgen, Nena 2 2012 Convex hypersurfaces with bounded first mean curvature measure. Zbl 0960.53007Bangert, Victor 2 1999 Non-closed isometry-invariant geodesics. Zbl 1344.53035Bangert, Victor 1 2016 Insecurity for compact surfaces of positive genus: commentary. Zbl 1245.53041Bangert, Victor; Gutkin, Eugene 1 2012 Hypersurfaces without selfintersections in the torus. Zbl 0762.58010Bangert, Victor 1 1992 Total curvature and the topology of complete surfaces. Zbl 0403.53023Bangert, Victor 1 1980 Manifolds with geodesic chords of constant length. Zbl 0508.53055Bangert, Victor 1 1983 Non-closed isometry-invariant geodesics. Zbl 1344.53035Bangert, Victor 1 2016 Area growth and rigidity of surfaces without conjugate points. Zbl 1278.53038Bangert, Victor; Emmerich, Patrick 9 2013 Isoperimetric inequalities for minimal submanifolds in Riemannian manifolds: a counterexample in higher codimension. Zbl 1263.49056Bangert, Victor; Röttgen, Nena 2 2012 Insecurity for compact surfaces of positive genus: commentary. Zbl 1245.53041Bangert, Victor; Gutkin, Eugene 1 2012 On the flatness of Riemannian cylinders without conjugate points. Zbl 1260.53065Bangert, Victor; Emmerich, Patrick 4 2011 On 2-tori having a pole. Zbl 1239.53034Bangert, Victor 3 2011 The existence of two closed geodesics on every Finsler 2-sphere. Zbl 1187.53040Bangert, Victor; Long, Yiming 56 2010 Insecurity for compact surfaces of positive genus. Zbl 1202.53044Bangert, Victor; Gutkin, Eugene 11 2010 \(E_7\), Wirtinger inequalities, Cayley 4-form, and homotopy. Zbl 1160.53023Bangert, Victor; Katz, Mikhail G.; Shnider, Steven; Weinberger, Shmuel 12 2009 Boundary case of equality in optimal Loewner-type inequalities. Zbl 1122.53020Bangert, Victor; Croke, Christopher; Ivanov, Sergei V.; Katz, Mikhail G. 13 2007 Differentiability of the stable norm in codimension one. Zbl 1095.53050Auer, Franz; Bangert, Victor 7 2006 Filling area conjecture and ovalless real hyperelliptic surfaces. Zbl 1082.53033Bangert, V.; Croke, C.; Ivanov, S.; Katz, M. 10 2005 An optimal Loewner-type systolic inequality and harmonic one-forms of constant norm. Zbl 1068.53027Bangert, Victor; Katz, Mikhail 14 2004 Stable systolic inequalities and cohomology products. Zbl 1038.53031Bangert, Victor; Katz, Mikhail 11 2003 Minimising currents and the stable norm in codimension one. Zbl 1008.53058Auer, Franz; Bangert, Victor 4 2001 Minimal measures and minimizing closed normal one-currents. Zbl 0973.58004Bangert, V. 19 1999 Convex hypersurfaces with bounded first mean curvature measure. Zbl 0960.53007Bangert, Victor 2 1999 Existence of a complex line in tame almost complex tori. Zbl 0981.53084Bangert, Victor 4 1998 Trapping quasiminimizing submanifolds in spaces of negative curvature. Zbl 0856.53047Bangert, Victor; Lang, Urs 10 1996 Minimal foliations and laminations. Zbl 0849.58017Bangert, Victor 3 1995 Geodesic rays, Busemann functions and monotone twist maps. Zbl 0794.58010Bangert, Victor 34 1994 On the existence of closed geodesics on two-spheres. Zbl 0791.53048Bangert, Victor 61 1993 Hypersurfaces without selfintersections in the torus. Zbl 0762.58010Bangert, Victor 1 1992 Existence of flat tori in analytic manifolds of nonpositive curvature. Zbl 0760.53032Bangert, V.; Schroeder, V. 14 1991 Minimal geodesics. Zbl 0676.53055Bangert, Victor 35 1990 Laminations of 3-tori by least area surfaces. Zbl 0697.58012Bangert, V. 4 1990 On minimal laminations of the torus. Zbl 0678.58014Bangert, V. 36 1989 Mather sets for twist maps and geodesics on tori. Zbl 0664.53021Bangert, V. 99 1988 A uniqueness theorem for \(Z^ n\)-periodic variational problems. Zbl 0634.49018Bangert, V. 23 1987 The existence of gaps in minimal foliations. Zbl 0645.58017Bangert, V. 20 1987 On the lengths of closed geodesics on almost round spheres. Zbl 0595.53049Bangert, Victor 5 1986 Geodätische Linien auf Riemannschen Mannigfaltigkeiten. Zbl 0565.53028Bangert, V. 19 1985 Closed geodesics on manifolds with infinite Abelian fundamental group. Zbl 0545.53036Bangert, Victor; Hingston, Nancy 16 1984 Homology generated by iterated closed geodesics. Zbl 0525.58015Bangert, V.; Klingenberg, W. 27 1983 Manifolds with geodesic chords of constant length. Zbl 0508.53055Bangert, Victor 1 1983 Sets with positive reach. Zbl 0453.53014Bangert, Victor 15 1982 Totally convex sets in complete Riemannian manifolds. Zbl 0479.53032Bangert, Victor 9 1981 On the existence of escaping geodesics. Zbl 0462.58013Bangert, Victor 4 1981 Geodesics and totally convex sets on surfaces. Zbl 0443.53034Bangert, Victor 2 1981 Closed geodesics on complete surfaces. Zbl 0422.53024Bangert, Victor 23 1980 Total curvature and the topology of complete surfaces. Zbl 0403.53023Bangert, Victor 1 1980 Analytische Eigenschaften konvexer Funktionen auf Riemannschen Mannigfaltigkeiten. Zbl 0396.52007Bangert, Victor 25 1979 Riemannsche Mannigfaltigkeiten mit nicht-konstanter konvexer Funktion. Zbl 0372.53021Bangert, Victor 8 1978 Über die Approximation von lokal konvexen Mengen. Zbl 0392.53027Bangert, Victor 7 1978 Konvexe Mengen in Riemannschen Mannigfaltigkeiten. Zbl 0369.52006Bangert, Victor 4 1978 all cited Publications top 5 cited Publications all top 5 Cited by 418 Authors 20 Katz, Mikhail G. 18 Bangert, Victor 18 Long, Yiming 13 Duan, Huagui 13 Wang, Wei 10 Cui, Xiaojun 10 Mazzucchelli, Marco 9 Liu, Hui 9 Rabinowitz, Paul Henry 9 Valdinoci, Enrico 7 Asselle, Luca 7 Sabourau, Stéphane 6 de la Llave, Rafael 6 Massart, Daniel 6 Qin, Wenxin 6 Rademacher, Hans-Bert 6 Suhr, Stefan 6 Taimanov, Iskander Asanovich 6 Wang, Yanan 5 Abbondandolo, Alberto 5 Cheng, Chong-Qing 5 Ginzburg, Viktor L’vovich 5 Hryniewicz, Umberto L. 5 Innami, Nobuhiro 5 Mather, John N. 5 Montecchiari, Piero 5 Moser, Jürgen K. 5 Schröder, Jan Philipp 5 Shiohama, Katsuhiro 4 Bernard, Patrick 4 Bessi, Ugo 4 Cheng, Wei 4 Granieri, Luca 4 Gutkin, Eugene 4 Hingston, Nancy 4 Hug, Daniel 4 Kaloshin, Vadim Yu. 4 Kleinjohann, Norbert 4 Lu, Guangcun 4 Macarini, Leonardo 4 MacKay, Robert Sinclair 4 Marò, Stefano 4 Miao, Xueqing 4 Mramor, Blaz 4 Rudyak, Yuli B. 4 Ruggiero, Rafael Oswaldo 4 Salomão, Pedro Antonio Santoro 4 Tran Vinh Hung 4 Xiao, Yuming 4 Yu, Yifeng 3 Alessio, Francesca 3 Cozzi, Matteo 3 Croke, Christopher B. 3 Dipierro, Serena 3 Fathi, Albert 3 Fu, Joseph Howland Guthrie 3 Glasmachers, Eva 3 Ivanov, Sergei Vladimirovich 3 Javaloyes, Miguel Angel 3 Jin, Liang 3 Katz, Karin Usadi 3 Knieper, Gerhard 3 Lang, Urs 3 Li, Wenlong 3 Marques, Fernando Codá 3 Rink, Bob W. 3 Ripoll, Jaime Bruck 3 Rotman, Regina 3 Shnider, Steven 3 Slijepčević, Siniša 3 Sorrentino, Alfonso 3 Xue, Jinxin 3 Zehmisch, Kai 2 Arroja Neves, André 2 Babenko, Ivan K. 2 Balacheff, Florent 2 Barbot, Thierry 2 Benedetti, Gabriele 2 Bialy, Misha 2 Biard, Séverine 2 Bolotin, Sergeĭ Vladimirovich 2 Bosetto, Elena 2 Bramham, Barney 2 Byeon, Jaeyoung 2 Caffarelli, Luis Ángel 2 Cao, Zhenbang 2 Caponio, Erasmo 2 Caprace, Pierre-Emmanuel 2 Castéras, Jean-baptiste 2 Chen, Qinbo 2 Cheng, Jian 2 Colesanti, Andrea 2 Dias Carneiro, Mario Jorge 2 Dranishnikov, Alexander Nikolaevich 2 Farina, Alberto 2 Figalli, Alessio 2 Galante, Joseph R. 2 Gambaudo, Jean-Marc 2 Geiges, Hansjörg 2 Gerber, Marlies ...and 318 more Authors all top 5 Cited in 132 Serials 25 Calculus of Variations and Partial Differential Equations 19 Transactions of the American Mathematical Society 18 Journal of Differential Equations 17 Advances in Mathematics 15 Geometriae Dedicata 15 Inventiones Mathematicae 14 Mathematische Annalen 13 Proceedings of the American Mathematical Society 12 Israel Journal of Mathematics 12 Manuscripta Mathematica 12 Mathematische Zeitschrift 11 Duke Mathematical Journal 11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 11 Differential Geometry and its Applications 11 Discrete and Continuous Dynamical Systems 9 Ergodic Theory and Dynamical Systems 9 Geometric and Functional Analysis. GAFA 8 Journal of Functional Analysis 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Physica D 7 Acta Mathematica Sinica. English Series 6 Archive for Rational Mechanics and Analysis 6 Annales de l’Institut Fourier 6 Journal of Fixed Point Theory and Applications 5 Archiv der Mathematik 5 Boletim da Sociedade Brasileira de Matemática. Nova Série 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Geometry & Topology 5 Journal of the European Mathematical Society (JEMS) 5 Journal of Topology and Analysis 4 Communications in Mathematical Physics 4 Communications on Pure and Applied Mathematics 4 The Journal of Geometric Analysis 4 Science China. Mathematics 3 Journal of Mathematical Analysis and Applications 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Nonlinearity 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Revista Matemática Iberoamericana 3 Journal of Dynamics and Differential Equations 3 Annals of Mathematics. Second Series 3 Regular and Chaotic Dynamics 3 Annales Henri Poincaré 3 Advanced Nonlinear Studies 3 Journal of Modern Dynamics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Acta Mathematica 2 Kodai Mathematical Journal 2 Pacific Journal of Mathematics 2 Annals of Global Analysis and Geometry 2 Science in China. Series A 2 Communications in Partial Differential Equations 2 Chaos 2 Algebraic & Geometric Topology 2 Nihonkai Mathematical Journal 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Milan Journal of Mathematics 2 Advances in Difference Equations 2 Frontiers of Mathematics in China 1 Bulletin of the Australian Mathematical Society 1 Classical and Quantum Gravity 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Mathematical Notes 1 Theoretical and Mathematical Physics 1 Journal of Geometry and Physics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 ACM Transactions on Mathematical Software 1 Acta Mathematica Vietnamica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin de la Société Mathématique de France 1 Colloquium Mathematicum 1 Publications Mathématiques 1 International Journal for Numerical Methods in Engineering 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Geometry 1 Journal of Geometry 1 Journal of Pure and Applied Algebra 1 Michigan Mathematical Journal 1 Osaka Journal of Mathematics 1 Rendiconti del Seminario Matematico della Università di Padova 1 Results in Mathematics 1 Siberian Mathematical Journal 1 Tohoku Mathematical Journal. Second Series 1 Topology and its Applications 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Optimization 1 Journal of the American Mathematical Society 1 International Journal of Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Aequationes Mathematicae 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Expositiones Mathematicae 1 Celestial Mechanics and Dynamical Astronomy 1 Indagationes Mathematicae. New Series ...and 32 more Serials all top 5 Cited in 41 Fields 253 Differential geometry (53-XX) 168 Dynamical systems and ergodic theory (37-XX) 113 Global analysis, analysis on manifolds (58-XX) 56 Partial differential equations (35-XX) 53 Calculus of variations and optimal control; optimization (49-XX) 37 Mechanics of particles and systems (70-XX) 28 Manifolds and cell complexes (57-XX) 25 Ordinary differential equations (34-XX) 23 Convex and discrete geometry (52-XX) 15 Algebraic topology (55-XX) 12 Measure and integration (28-XX) 12 Several complex variables and analytic spaces (32-XX) 11 Group theory and generalizations (20-XX) 10 Real functions (26-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Functions of a complex variable (30-XX) 8 Operator theory (47-XX) 7 Functional analysis (46-XX) 6 General topology (54-XX) 6 Numerical analysis (65-XX) 5 Mechanics of deformable solids (74-XX) 4 Operations research, mathematical programming (90-XX) 3 Topological groups, Lie groups (22-XX) 3 Geometry (51-XX) 3 Relativity and gravitational theory (83-XX) 2 History and biography (01-XX) 2 Probability theory and stochastic processes (60-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Statistics (62-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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