Edit Profile (opens in new tab) Matveev, Vladimir S. Compute Distance To: Compute Author ID: matveev.vladimir-s Published as: Matveev, Vladimir S.; Matveev, V. S.; Matveev, Vladimir; Matveev, Vladimir Sergeevich; Matveev, V. Homepage: http://users.minet.uni-jena.de/~matveev/ External Links: MGP · ORCID · ResearchGate · Math-Net.Ru Documents Indexed: 117 Publications since 1993, including 1 Book 5 Contributions as Editor Co-Authors: 67 Co-Authors with 82 Joint Publications 1,417 Co-Co-Authors all top 5 Co-Authors 40 single-authored 13 Bolsinov, Alexey V. 12 Topalov, Peter J. 7 Kiosak, Volodymyr Anatolyevich 7 Rosemann, Stefan 6 Kruglikov, Boris S. 6 Troyanov, Marc 4 Miranda, Eva 3 Dullin, Holger R. 3 Shevchishin, Vsevolod V. 2 Bryant, Robert L. 2 Burns, Keith 2 Calderbank, David M. J. 2 Eastwood, Michael G. 2 Fedorova, Aleksandra 2 Foulon, Patrick 2 Konyaev, Andreĭ Yu. 2 Neusser, Katharina 2 Nikolayevsky, Yuri 2 Rademacher, Hans-Bert 2 Tabachnikov, Serge L. 1 Bandyopadhyay, Saugata 1 Bartelmeß, Nina 1 Čap, Andreas 1 Case, Jeffrey S. 1 Cheng, Jih-Hsin 1 Curry, Sean N. 1 Dacorogna, Bernard 1 De Bartolomeis, Paolo 1 Deng, Shaoqiang 1 Eschenburg, Jost-Hinrich 1 Fomenko, Anatoliĭ Timofeevich 1 Gover, Ashwin Rod 1 Hubicska, Balázs 1 Ivanov, Sergeĭ V. 1 Lebedeva, Nina V. 1 Ma, Tianyu 1 Manno, Gianni 1 Marugame, Taiji 1 Melnick, Karin 1 Mettler, Thomas 1 Mikeš, Josef 1 Montgomery, Richard 1 Morales-Ruiz, Juan José 1 Mounoud, Pierre 1 Muzsnay, Zoltán 1 Nguyen Tien Zung 1 Oshemkov, Andreĭ Aleksandrovich 1 Papadopoulos, Athanase 1 Pavlyukevich, Ilya 1 Petrunin, Anton Mikhailovich 1 Przybylska, Maria 1 Pucacco, Giuseppe 1 Roubtsov, Vladimir 1 Rubtsov, Vladimir Nikolaevich 1 Sabau, Sorin Vasile 1 Saberali, Samaneh 1 Scholz, Erhard 1 Shandra, Igor’ Georgievich 1 Tabashnikov, Sergei 1 The, Dennis 1 Trautman, Andrzej 1 Tribuzy, Renato 1 Valent, Galliano 1 Vũ Ngọc, San 1 Xu, Ming 1 Yan, Ke 1 Zeghib, Abdelghani 1 Zhang, Shaoxiang 1 Ziller, Wolfgang all top 5 Serials 9 Journal of Geometry and Physics 5 Differential Geometry and its Applications 4 Moscow University Mathematics Bulletin 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Communications in Mathematical Physics 3 Mathematical Notes 3 Advances in Mathematics 3 Archiv der Mathematik 3 Journal of Differential Geometry 3 Proceedings of the London Mathematical Society. Third Series 3 Journal of Mathematical Sciences (New York) 3 Doklady Mathematics 3 Regularnaya & Khaoticheskaya Dinamika 2 Nonlinearity 2 Annales de l’Institut Fourier 2 Mathematische Annalen 2 Proceedings of the American Mathematical Society 2 Publicationes Mathematicae 2 Transactions of the American Mathematical Society 2 Ergodic Theory and Dynamical Systems 2 Annals of Global Analysis and Geometry 2 International Journal of Mathematics 2 The Journal of Geometric Analysis 2 Trudy Seminara po Vektornomu i Tenzornomu Analizu 2 Mathematical Research Letters 2 Electronic Research Announcements of the American Mathematical Society 2 Sbornik: Mathematics 2 Regular and Chaotic Dynamics 2 Electronic Research Announcements in Mathematical Sciences 2 European Journal of Mathematics 1 General Relativity and Gravitation 1 Houston Journal of Mathematics 1 Letters in Mathematical Physics 1 Theoretical and Mathematical Physics 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Geometriae Dedicata 1 Glasgow Mathematical Journal 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Topology 1 Bulletin of the Iranian Mathematical Society 1 L’Enseignement Mathématique. 2e Série 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Physics A: Mathematical and General 1 Balkan Journal of Geometry and its Applications (BJGA) 1 Geometry & Topology 1 Qualitative Theory of Dynamical Systems 1 Advances in Geometry 1 Central European Journal of Mathematics 1 International Journal of Geometric Methods in Modern Physics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Chebyshevskiĭ Sbornik 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Advanced Courses in Mathematics – CRM Barcelona all top 5 Fields 108 Differential geometry (53-XX) 49 Dynamical systems and ergodic theory (37-XX) 18 Mechanics of particles and systems (70-XX) 15 Global analysis, analysis on manifolds (58-XX) 9 Several complex variables and analytic spaces (32-XX) 6 Partial differential equations (35-XX) 5 General and overarching topics; collections (00-XX) 5 Relativity and gravitational theory (83-XX) 3 Manifolds and cell complexes (57-XX) 2 Topological groups, Lie groups (22-XX) 2 Convex and discrete geometry (52-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 101 Publications have been cited 899 times in 344 Documents Cited by ▼ Year ▼ Geometrical interpretation of Benenti systems. Zbl 1010.37035Bolsinov, Alexey V.; Matveev, Vladimir S. 38 2003 Metric connections in projective differential geometry. Zbl 1144.53027Eastwood, Michael; Matveev, Vladimir 37 2008 A solution of a problem of Sophus Lie: normal forms of two-dimensional metrics admitting two projective vector fields. Zbl 1144.53025Bryant, Robert L.; Manno, Gianni; Matveev, Vladimir S. 36 2008 Trajectory equivalence and corresponding integrals. Zbl 0928.37003Matveev, V. S.; Topalov, P. Ĭ. 36 1998 Proof of the projective Lichnerowicz-Obata conjecture. Zbl 1115.53029Matveev, Vladimir S. 35 2007 Geodesic equivalence via integrability. Zbl 1017.37029Topalov, Peter; Matveev, Vladimir S. 32 2003 The Binet-Legendre metric in Finsler geometry. Zbl 1258.53080Matveev, Vladimir S.; Troyanov, Marc 31 2012 Two-dimensional Riemannian metrics with integrable geodesic flows. Local and global geometry. Zbl 0917.58031Bolsinov, A. V.; Matveev, V. S.; Fomenko, A. T. 27 1998 Complete Einstein metrics are geodesically rigid. Zbl 1170.53025Kiosak, Volodymyr; Matveev, Vladimir S. 24 2009 Proof of the projective Lichnerowicz conjecture for pseudo-Riemannian metrics with degree of mobility greater than two. Zbl 1197.53055Kiosak, Volodymyr; Matveev, Vladimir S. 22 2010 Finsler conformal Lichnerowicz-Obata conjecture. Zbl 1179.53075Matveev, V. S.; Rademacher, H.-B.; Troyanov, M.; Zeghib, A. 22 2009 Integrable Hamiltonian systems with two degrees of freedom. The topological structure of saturated neighbourhoods of points of focus-focus and saddle-saddle type. Zbl 0871.58045Matveev, V. S. 22 1996 Hyperbolic manifolds are geodesically rigid. Zbl 1039.53046Matveev, Vladimir S. 21 2003 Quantum integrability of Beltrami-Laplace operator as geodesic equivalence. Zbl 0998.53025Matveev, Vladimir S.; Topalov, Peter J. 19 2001 Geodesically equivalent metrics in general relativity. Zbl 1248.83018Matveev, Vladimir S. 18 2012 Two-dimensional superintegrable metrics with one linear and one cubic integral. Zbl 1218.53087Matveev, Vladimir S.; Shevchishin, Vsevolod V. 17 2011 Local normal forms for geodesically equivalent pseudo-Riemannian metrics. Zbl 1320.53024Bolsinov, Alexey V.; Matveev, Vladimir S. 17 2015 Lichnerowicz-Obata conjecture in dimension two. Zbl 1113.53025Matveev, Vladimir S. 17 2005 Gallot-Tanno theorem for closed incomplete pseudo-Riemannian manifolds and applications. Zbl 1204.53057Matveev, Vladimir S.; Mounoud, Pierre 16 2010 Two-dimensional metrics admitting precisely one projective vector field. Zbl 1237.53013Matveev, Vladimir S. 16 2012 Splitting and gluing lemmas for geodesically equivalent pseudo-Riemannian metrics. Zbl 1220.53020Bolsinov, Alexey V.; Matveev, Vladimir S. 15 2011 Geometric explanation of the Beltrami theorem. Zbl 1095.53023Matveev, Vladimir S. 15 2006 A new integrable system on the sphere. Zbl 1119.37039Dullin, Holger R.; Matveev, Vladimir S. 14 2004 Normal forms for pseudo-Riemannian 2-dimensional metrics whose geodesic flows admit integrals quadratic in momenta. Zbl 1169.53054Bolsinov, Alexey V.; Matveev, Vladimir S.; Pucacco, Giuseppe 12 2009 Proof of the Yano-Obata conjecture for \(h\)-projective transformations. Zbl 1277.53073Matveev, Vladimir S.; Rosemann, Stefan 12 2012 Three-dimensional manifolds having metrics with the same geodesics. Zbl 1035.53117Matveev, Vladimir S. 11 2003 Metric with ergodic geodesic flow is completely determined by unparameterized geodesics. Zbl 0979.53032Matveev, Vladimir S.; Topalov, Petar J. 11 2000 A Fubini theorem for pseudo-Riemannian geodesically equivalent metrics. Zbl 1175.53022Bolsinov, Alexey V.; Kiosak, Volodymyr; Matveev, Vladimir S. 10 2009 The geodesic flow of a generic metric does not admit nontrivial integrals polynomial in momenta. Zbl 1350.37064Kruglikov, Boris; Matveev, Vladimir S. 10 2016 Pseudo-Riemannian metrics on closed surfaces whose geodesic flows admit nontrivial integrals quadratic in momenta, and proof of the projective Obata conjecture for two-dimensional pseudo-Riemannian metrics. Zbl 1251.37058Matveev, Vladimir S. 10 2012 Geodesic equivalence of metrics on surfaces, and their integrability. Zbl 1041.37502Matveev, V. S.; Topalov, P. I. 10 1999 The only Kähler manifold with degree of mobility at least 3 is \((\mathbb CP(n), g_{\text{Fubini-Study}})\). Zbl 1248.53054Fedorova, A.; Kiosak, V.; Matveev, V. S.; Rosemann, S. 9 2012 Beltrami problem, Lichnerowich–Obata conjecture and applications of integrable systems in differentiable geometry. Zbl 1133.53303Matveev, V. S. 9 2005 Degree of mobility for metrics of Lorentzian signature and parallel \((0,2)\)-tensor fields on cone manifolds. Zbl 1310.53020Fedorova, Aleksandra; Matveev, Vladimir S. 9 2014 Riemannian metrics having common geodesics with Berwald metrics. Zbl 1199.53160Matveev, Vladimir S. 9 2009 The Obata conjecture for dimension 2. (Die Vermutung von Obata für Dimension 2.) Zbl 1076.53052Matveev, Vladimir S. 8 2004 Open problems, questions and challenges in finite- dimensional integrable systems. Zbl 1407.53089Bolsinov, Alexey; Matveev, Vladimir S.; Miranda, Eva; Tabachnikov, Serge 8 2018 Projectively related metrics, Weyl nullity and metric projectively invariant equations. Zbl 1388.58005Gover, A. Rod; Matveev, Vladimir S. 8 2017 Gallot-Tanno theorem for pseudo-Riemannian metrics and a proof that decomposable cones over closed complete pseudo-Riemannian manifolds do not exist. Zbl 1207.53072Matveev, Vladimir S. 7 2010 Conification construction for Kähler manifolds and its application in \(c\)-projective geometry. Zbl 1370.53052Matveev, Vladimir S.; Rosemann, Stefan 7 2015 On “All regular Landsberg metrics are always Berwald” by Z. I. Szabó. Zbl 1187.53021Matveev, Vladimir S. 7 2009 Differential invariants for cubic integrals of geodesic flows on surfaces. Zbl 1202.53081Matveev, Vladimir S.; Shevchishin, Vsevolod V. 6 2010 There are no conformal Einstein rescalings of complete pseudo-Riemannian Einstein metrics. Zbl 1173.53020Kiosak, Volodymyr; Matveev, Vladimir S. 6 2009 On the rigidity of magnetic systems with the same magnetic geodesics. Zbl 1079.37019Burns, Keith; Matveev, Vladimir S. 6 2006 Quantum integrability of the Beltrami-Laplace operator for geodesically equivalent metrics. Zbl 1047.58004Matveev, V. S. 6 2000 Isometries of two dimensional Hilbert geometries. Zbl 1362.51005Matveev, Vladimir S.; Troyanov, Marc 6 2015 Quadratically integrable geodesic flows on a torus and a Klein bottle. Zbl 0937.37011Matveev, V. S. 6 1997 Zermelo deformation of Finsler metrics by Killing vector fields. Zbl 1402.53019Foulon, Patrick; Matveev, Vladimir S. 6 2018 Vanishing of the entropy pseudonorm for certain integrable systems. Zbl 1186.37067Kruglikov, Boris S.; Matveev, Vladimir S. 5 2006 On projectively equivalent metrics near points of bifurcation. Zbl 1329.53116Matveev, Vladimir S. 5 2006 On projective equivalence and pointwise projective relation of Randers metrics. Zbl 1253.53018Matveev, Vladimir S. 5 2012 Strictly non-proportional geodesically equivalent metrics have \(h_{\mathrm{top}}(g) = 0\). Zbl 1094.53037Kruglikov, Boris S.; Matveev, Vladimir S. 5 2006 A criterion for compatibility of conformal and projective structures. Zbl 1298.53021Matveev, Vladimir S.; Trautman, Andrzej 5 2014 Submaximally symmetric \(c\)-projective structures. Zbl 1336.32023Kruglikov, Boris; Matveev, Vladimir; The, Dennis 5 2016 Four-dimensional Kähler metrics admitting c-projective vector fields. Zbl 1312.53095Bolsinov, Alexey V.; Matveev, Vladimir S.; Mettler, Thomas; Rosemann, Stefan 5 2015 Integrability in the theory of geodesically equivalent metrics. Zbl 0983.53024Matveev, Vladimir S.; Topalov, Peter J. 5 2001 Chains in CR geometry as geodesics of a Kropina metric. Zbl 1420.32025Cheng, Jih-Hsin; Marugame, Taiji; Matveev, Vladimir S.; Montgomery, Richard 5 2019 Projectively invariant objects and the index of the group of affine transformations in the group of projective transformations. Zbl 1426.53024Matveev, Vladimir S. 4 2018 On the degree of geodesic mobility for Riemannian metrics. Zbl 1200.53044Kiosak, V. A.; Matveev, V. S.; Mikeš, J.; Shandra, I. G. 4 2010 The Solodovnikov theorem in dimension two. Zbl 1246.53113Matveev, V. S. 4 2004 On degree of mobility for complete metrics. Zbl 1131.53013Matveev, Vladimir S. 4 2006 Can we make a Finsler metric complete by a trivial projective change? Zbl 1279.53070Matveev, Vladimir S. 4 2013 Submaximal metric projective and metric affine structures. Zbl 1295.53012Kruglikov, Boris; Matveev, Vladimir 4 2014 Projectively equivalent metrics on the torus. Zbl 1051.37030Matveev, Vladimir S. 4 2004 Monochromatic metrics are generalized Berwald. Zbl 1387.53032Bartelmeß, Nina; Matveev, Vladimir S. 4 2018 Commuting operators and separation of variables for Laplacians of projectively equivalent metrics. Zbl 1128.58301Matveev, Vladimir S. 3 2000 The asymptotic eigenfunctions of the operator \(\nabla D(x,y)\nabla\) corresponding to Liouville metrics and waves on water captured by bottom irregularities. Zbl 0926.35103Matveev, V. S. 3 1998 Integrable Hamiltonian systems: Topological structure of saturated neighborhoods of nondegenerate singular points. Zbl 0989.37055Bolsinov, A. V.; Matveev, V. S. 3 1998 Three-dimensional closed hyperbolic manifolds are geodesically rigid. (Geschlossene hyperbolische 3-Mannigfaltigkeiten sind geodätisch starr.) Zbl 1076.53520Matveev, Vladimir S. 3 2001 The Myers-Steenrod theorem for Finsler manifolds of low regularity. Zbl 1362.53083Matveev, Vladimir S.; Troyanov, Marc 3 2017 The eigenvalues of the Sinyukov mapping for geodesically equivalent metrics are globally ordered. Zbl 1114.53039Matveev, V. S. 3 2005 On integrals of the third degree in momenta. Zbl 1012.37036Dullin, H. R.; Matveev, V. S.; Topalov, P. Ĭ. 3 1999 On the number of nontrivial projective transformations of closed manifolds. Zbl 1388.53016Matveev, Vladimir S. 3 2017 Curvature and the c-projective mobility of Kähler metrics with Hamiltonian 2-forms. Zbl 1373.53096Calderbank, David M. J.; Matveev, Vladimir S.; Rosemann, Stefan 3 2016 Completeness and incompleteness of the Binet-Legendre metric. Zbl 1343.53076Matveev, Vladimir S.; Troyanov, Marc 2 2015 Some remarks on Nijenhuis brackets, formality, and Kähler manifolds. Zbl 1283.58001De Bartolomeis, Paolo; Matveev, Vladimir S. 2 2013 There exist no 4-dimensional geodesically equivalent metrics with the same stress-energy tensor. Zbl 1284.53069Kiosak, Volodymyr; Matveev, Vladimir S. 2 2014 Geometry and dynamics of integrable systems. Lecture notes for the advanced course, Barcelona, Spain, September 2013. Edited by Eva Miranda and Vladimir Matveev. Zbl 1357.37002Bolsinov, Alexey; Morales-Ruiz, Juan J.; Nguyen Tien Zung 2 2016 A counterexample to Belgun-Moroianu conjecture. (Un contre-exemple à la conjecture de Belgun-Moroianu.) Zbl 1316.53038Matveev, Vladimir S.; Nikolayevsky, Yuri 2 2015 Low dimensional manifolds admitting metrics with the same geodesics. Zbl 1076.53051Matveev, Vladimir S. 2 2002 Three-manifolds admitting metrics with the same geodesics. Zbl 1013.53026Matveev, Vladimir S. 2 2002 Closed manifolds admitting metrics with the same geodesics. Zbl 1136.53315Matveev, Vladimir S. 2 2005 Locally conformally Berwald manifolds and compact quotients of reducible manifolds by homotheties. (Variétés localement conformément Berwaldiennes et quotients compacts de variétés réductibles par d’homothéthies.) Zbl 1400.53064Matveev, Vladimir S.; Nikolayevsky, Yuri 2 2017 The degree of mobility of Einstein metrics. Zbl 1330.53090Matveev, Vladimir S.; Rosemann, Stefan 2 2016 Smoothing 3-dimensional polyhedral spaces. Zbl 1346.53040Shevchishin, Vsevolod; Petrunin, Anton; Matveev, Vladimir; Lebedeva, Nina 2 2015 Geodesic behavior for Finsler metrics of constant positive flag curvature on \(S^2\). Zbl 07297237Bryant, R. L.; Foulon, P.; Ivanov, S. V.; Matveev, V. S.; Ziller, W. 2 2021 \(C\)-projective geometry. Zbl 1482.53001Calderbank, David M. J.; Eastwood, Michael G.; Matveev, Vladimir S.; Neusser, Katharina 1 2020 Compatibility of Gauß maps with metrics. Zbl 1186.53008Eschenburg, Jost-Hinrich; Kruglikov, B. S.; Matveev, Vladimir S.; Tribuzy, Renato 1 2010 On the dimension of the group of projective transformations of closed Randers and Riemannian manifolds. Zbl 1247.53087Matveev, Vladimir S. 1 2012 Conjugate points of hyperbolic geodesics of square integrable geodesic flows on closed surfaces. Zbl 0980.53098Matveev, V. S.; Topalov, P. 1 1998 Quantum integrability and complete separation of variables for projectively equivalent metrics on the torus. Zbl 1070.53500Matveev, Vladimir S. 1 2001 Geodesic flows on the Klein bottle, integrable by polynomials in momenta of degree four. Zbl 0921.58049Matveev, V. S. 1 1997 Singularities of momentum maps of integrable Hamiltonian systems with two degrees of freedom. Zbl 1114.37304Bolsinov, A. V.; Matveev, V. S. 1 1996 A metric on a sphere that is geodesically equivalent to itself a metric of constant curvature is a metric of constant curvature. Zbl 1031.53061Matveev, V. S.; Topalov, P. 1 1998 Algorithmic classification of invariant neighborhoods for points of saddle-saddle type. Zbl 0951.37021Matveev, V. S.; Oshemkov, A. A. 1 1999 Editors’ foreword for the special issue “Finsler geometry, new methods and perspectives”. Zbl 1384.00079 1 2017 On the groups of c-projective transformations of complete Kähler manifolds. Zbl 1414.32023Matveev, Vladimir S.; Neusser, Katharina 1 2018 Two remarks on \(PQ^{\epsilon}\)-projectivity of Riemannian metrics. Zbl 1261.53016Matveev, Vladimir S.; Rosemann, Stefan 1 2013 Applications of Nijenhuis geometry. II: Maximal pencils of multi-Hamiltonian structures of hydrodynamic type. Zbl 1475.37075Bolsinov, Alexey V.; Konyaev, Andrey Yu; Matveev, Vladimir S. 1 2021 Almost all Finsler metrics have infinite dimensional holonomy group. Zbl 1476.53076Hubicska, B.; Matveev, V. S.; Muzsnay, Z. 1 2021 Geodesic behavior for Finsler metrics of constant positive flag curvature on \(S^2\). Zbl 07297237Bryant, R. L.; Foulon, P.; Ivanov, S. V.; Matveev, V. S.; Ziller, W. 2 2021 Applications of Nijenhuis geometry. II: Maximal pencils of multi-Hamiltonian structures of hydrodynamic type. Zbl 1475.37075Bolsinov, Alexey V.; Konyaev, Andrey Yu; Matveev, Vladimir S. 1 2021 Almost all Finsler metrics have infinite dimensional holonomy group. Zbl 1476.53076Hubicska, B.; Matveev, V. S.; Muzsnay, Z. 1 2021 Open problems and questions about geodesics. Zbl 07454639Burns, Keith; Matveev, Vladimir S. 1 2021 \(C\)-projective geometry. Zbl 1482.53001Calderbank, David M. J.; Eastwood, Michael G.; Matveev, Vladimir S.; Neusser, Katharina 1 2020 Chains in CR geometry as geodesics of a Kropina metric. Zbl 1420.32025Cheng, Jih-Hsin; Marugame, Taiji; Matveev, Vladimir S.; Montgomery, Richard 5 2019 Open problems, questions and challenges in finite- dimensional integrable systems. Zbl 1407.53089Bolsinov, Alexey; Matveev, Vladimir S.; Miranda, Eva; Tabachnikov, Serge 8 2018 Zermelo deformation of Finsler metrics by Killing vector fields. Zbl 1402.53019Foulon, Patrick; Matveev, Vladimir S. 6 2018 Projectively invariant objects and the index of the group of affine transformations in the group of projective transformations. Zbl 1426.53024Matveev, Vladimir S. 4 2018 Monochromatic metrics are generalized Berwald. Zbl 1387.53032Bartelmeß, Nina; Matveev, Vladimir S. 4 2018 On the groups of c-projective transformations of complete Kähler manifolds. Zbl 1414.32023Matveev, Vladimir S.; Neusser, Katharina 1 2018 Projectively related metrics, Weyl nullity and metric projectively invariant equations. Zbl 1388.58005Gover, A. Rod; Matveev, Vladimir S. 8 2017 The Myers-Steenrod theorem for Finsler manifolds of low regularity. Zbl 1362.53083Matveev, Vladimir S.; Troyanov, Marc 3 2017 On the number of nontrivial projective transformations of closed manifolds. Zbl 1388.53016Matveev, Vladimir S. 3 2017 Locally conformally Berwald manifolds and compact quotients of reducible manifolds by homotheties. (Variétés localement conformément Berwaldiennes et quotients compacts de variétés réductibles par d’homothéthies.) Zbl 1400.53064Matveev, Vladimir S.; Nikolayevsky, Yuri 2 2017 Editors’ foreword for the special issue “Finsler geometry, new methods and perspectives”. Zbl 1384.00079 1 2017 The geodesic flow of a generic metric does not admit nontrivial integrals polynomial in momenta. Zbl 1350.37064Kruglikov, Boris; Matveev, Vladimir S. 10 2016 Submaximally symmetric \(c\)-projective structures. Zbl 1336.32023Kruglikov, Boris; Matveev, Vladimir; The, Dennis 5 2016 Curvature and the c-projective mobility of Kähler metrics with Hamiltonian 2-forms. Zbl 1373.53096Calderbank, David M. J.; Matveev, Vladimir S.; Rosemann, Stefan 3 2016 Geometry and dynamics of integrable systems. Lecture notes for the advanced course, Barcelona, Spain, September 2013. Edited by Eva Miranda and Vladimir Matveev. Zbl 1357.37002Bolsinov, Alexey; Morales-Ruiz, Juan J.; Nguyen Tien Zung 2 2016 The degree of mobility of Einstein metrics. Zbl 1330.53090Matveev, Vladimir S.; Rosemann, Stefan 2 2016 Local normal forms for geodesically equivalent pseudo-Riemannian metrics. Zbl 1320.53024Bolsinov, Alexey V.; Matveev, Vladimir S. 17 2015 Conification construction for Kähler manifolds and its application in \(c\)-projective geometry. Zbl 1370.53052Matveev, Vladimir S.; Rosemann, Stefan 7 2015 Isometries of two dimensional Hilbert geometries. Zbl 1362.51005Matveev, Vladimir S.; Troyanov, Marc 6 2015 Four-dimensional Kähler metrics admitting c-projective vector fields. Zbl 1312.53095Bolsinov, Alexey V.; Matveev, Vladimir S.; Mettler, Thomas; Rosemann, Stefan 5 2015 Completeness and incompleteness of the Binet-Legendre metric. Zbl 1343.53076Matveev, Vladimir S.; Troyanov, Marc 2 2015 A counterexample to Belgun-Moroianu conjecture. (Un contre-exemple à la conjecture de Belgun-Moroianu.) Zbl 1316.53038Matveev, Vladimir S.; Nikolayevsky, Yuri 2 2015 Smoothing 3-dimensional polyhedral spaces. Zbl 1346.53040Shevchishin, Vsevolod; Petrunin, Anton; Matveev, Vladimir; Lebedeva, Nina 2 2015 Degree of mobility for metrics of Lorentzian signature and parallel \((0,2)\)-tensor fields on cone manifolds. Zbl 1310.53020Fedorova, Aleksandra; Matveev, Vladimir S. 9 2014 A criterion for compatibility of conformal and projective structures. Zbl 1298.53021Matveev, Vladimir S.; Trautman, Andrzej 5 2014 Submaximal metric projective and metric affine structures. Zbl 1295.53012Kruglikov, Boris; Matveev, Vladimir 4 2014 There exist no 4-dimensional geodesically equivalent metrics with the same stress-energy tensor. Zbl 1284.53069Kiosak, Volodymyr; Matveev, Vladimir S. 2 2014 Can we make a Finsler metric complete by a trivial projective change? Zbl 1279.53070Matveev, Vladimir S. 4 2013 Some remarks on Nijenhuis brackets, formality, and Kähler manifolds. Zbl 1283.58001De Bartolomeis, Paolo; Matveev, Vladimir S. 2 2013 Two remarks on \(PQ^{\epsilon}\)-projectivity of Riemannian metrics. Zbl 1261.53016Matveev, Vladimir S.; Rosemann, Stefan 1 2013 The Binet-Legendre metric in Finsler geometry. Zbl 1258.53080Matveev, Vladimir S.; Troyanov, Marc 31 2012 Geodesically equivalent metrics in general relativity. Zbl 1248.83018Matveev, Vladimir S. 18 2012 Two-dimensional metrics admitting precisely one projective vector field. Zbl 1237.53013Matveev, Vladimir S. 16 2012 Proof of the Yano-Obata conjecture for \(h\)-projective transformations. Zbl 1277.53073Matveev, Vladimir S.; Rosemann, Stefan 12 2012 Pseudo-Riemannian metrics on closed surfaces whose geodesic flows admit nontrivial integrals quadratic in momenta, and proof of the projective Obata conjecture for two-dimensional pseudo-Riemannian metrics. Zbl 1251.37058Matveev, Vladimir S. 10 2012 The only Kähler manifold with degree of mobility at least 3 is \((\mathbb CP(n), g_{\text{Fubini-Study}})\). Zbl 1248.53054Fedorova, A.; Kiosak, V.; Matveev, V. S.; Rosemann, S. 9 2012 On projective equivalence and pointwise projective relation of Randers metrics. Zbl 1253.53018Matveev, Vladimir S. 5 2012 On the dimension of the group of projective transformations of closed Randers and Riemannian manifolds. Zbl 1247.53087Matveev, Vladimir S. 1 2012 Two-dimensional superintegrable metrics with one linear and one cubic integral. Zbl 1218.53087Matveev, Vladimir S.; Shevchishin, Vsevolod V. 17 2011 Splitting and gluing lemmas for geodesically equivalent pseudo-Riemannian metrics. Zbl 1220.53020Bolsinov, Alexey V.; Matveev, Vladimir S. 15 2011 Proof of the projective Lichnerowicz conjecture for pseudo-Riemannian metrics with degree of mobility greater than two. Zbl 1197.53055Kiosak, Volodymyr; Matveev, Vladimir S. 22 2010 Gallot-Tanno theorem for closed incomplete pseudo-Riemannian manifolds and applications. Zbl 1204.53057Matveev, Vladimir S.; Mounoud, Pierre 16 2010 Gallot-Tanno theorem for pseudo-Riemannian metrics and a proof that decomposable cones over closed complete pseudo-Riemannian manifolds do not exist. Zbl 1207.53072Matveev, Vladimir S. 7 2010 Differential invariants for cubic integrals of geodesic flows on surfaces. Zbl 1202.53081Matveev, Vladimir S.; Shevchishin, Vsevolod V. 6 2010 On the degree of geodesic mobility for Riemannian metrics. Zbl 1200.53044Kiosak, V. A.; Matveev, V. S.; Mikeš, J.; Shandra, I. G. 4 2010 Compatibility of Gauß maps with metrics. Zbl 1186.53008Eschenburg, Jost-Hinrich; Kruglikov, B. S.; Matveev, Vladimir S.; Tribuzy, Renato 1 2010 Complete Einstein metrics are geodesically rigid. Zbl 1170.53025Kiosak, Volodymyr; Matveev, Vladimir S. 24 2009 Finsler conformal Lichnerowicz-Obata conjecture. Zbl 1179.53075Matveev, V. S.; Rademacher, H.-B.; Troyanov, M.; Zeghib, A. 22 2009 Normal forms for pseudo-Riemannian 2-dimensional metrics whose geodesic flows admit integrals quadratic in momenta. Zbl 1169.53054Bolsinov, Alexey V.; Matveev, Vladimir S.; Pucacco, Giuseppe 12 2009 A Fubini theorem for pseudo-Riemannian geodesically equivalent metrics. Zbl 1175.53022Bolsinov, Alexey V.; Kiosak, Volodymyr; Matveev, Vladimir S. 10 2009 Riemannian metrics having common geodesics with Berwald metrics. Zbl 1199.53160Matveev, Vladimir S. 9 2009 On “All regular Landsberg metrics are always Berwald” by Z. I. Szabó. Zbl 1187.53021Matveev, Vladimir S. 7 2009 There are no conformal Einstein rescalings of complete pseudo-Riemannian Einstein metrics. Zbl 1173.53020Kiosak, Volodymyr; Matveev, Vladimir S. 6 2009 Metric connections in projective differential geometry. Zbl 1144.53027Eastwood, Michael; Matveev, Vladimir 37 2008 A solution of a problem of Sophus Lie: normal forms of two-dimensional metrics admitting two projective vector fields. Zbl 1144.53025Bryant, Robert L.; Manno, Gianni; Matveev, Vladimir S. 36 2008 Proof of the projective Lichnerowicz-Obata conjecture. Zbl 1115.53029Matveev, Vladimir S. 35 2007 Geometric explanation of the Beltrami theorem. Zbl 1095.53023Matveev, Vladimir S. 15 2006 On the rigidity of magnetic systems with the same magnetic geodesics. Zbl 1079.37019Burns, Keith; Matveev, Vladimir S. 6 2006 Vanishing of the entropy pseudonorm for certain integrable systems. Zbl 1186.37067Kruglikov, Boris S.; Matveev, Vladimir S. 5 2006 On projectively equivalent metrics near points of bifurcation. Zbl 1329.53116Matveev, Vladimir S. 5 2006 Strictly non-proportional geodesically equivalent metrics have \(h_{\mathrm{top}}(g) = 0\). Zbl 1094.53037Kruglikov, Boris S.; Matveev, Vladimir S. 5 2006 On degree of mobility for complete metrics. Zbl 1131.53013Matveev, Vladimir S. 4 2006 Lichnerowicz-Obata conjecture in dimension two. Zbl 1113.53025Matveev, Vladimir S. 17 2005 Beltrami problem, Lichnerowich–Obata conjecture and applications of integrable systems in differentiable geometry. Zbl 1133.53303Matveev, V. S. 9 2005 The eigenvalues of the Sinyukov mapping for geodesically equivalent metrics are globally ordered. Zbl 1114.53039Matveev, V. S. 3 2005 Closed manifolds admitting metrics with the same geodesics. Zbl 1136.53315Matveev, Vladimir S. 2 2005 A new integrable system on the sphere. Zbl 1119.37039Dullin, Holger R.; Matveev, Vladimir S. 14 2004 The Obata conjecture for dimension 2. (Die Vermutung von Obata für Dimension 2.) Zbl 1076.53052Matveev, Vladimir S. 8 2004 The Solodovnikov theorem in dimension two. Zbl 1246.53113Matveev, V. S. 4 2004 Projectively equivalent metrics on the torus. Zbl 1051.37030Matveev, Vladimir S. 4 2004 Geometrical interpretation of Benenti systems. Zbl 1010.37035Bolsinov, Alexey V.; Matveev, Vladimir S. 38 2003 Geodesic equivalence via integrability. Zbl 1017.37029Topalov, Peter; Matveev, Vladimir S. 32 2003 Hyperbolic manifolds are geodesically rigid. Zbl 1039.53046Matveev, Vladimir S. 21 2003 Three-dimensional manifolds having metrics with the same geodesics. Zbl 1035.53117Matveev, Vladimir S. 11 2003 Low dimensional manifolds admitting metrics with the same geodesics. Zbl 1076.53051Matveev, Vladimir S. 2 2002 Three-manifolds admitting metrics with the same geodesics. Zbl 1013.53026Matveev, Vladimir S. 2 2002 Quantum integrability of Beltrami-Laplace operator as geodesic equivalence. Zbl 0998.53025Matveev, Vladimir S.; Topalov, Peter J. 19 2001 Integrability in the theory of geodesically equivalent metrics. Zbl 0983.53024Matveev, Vladimir S.; Topalov, Peter J. 5 2001 Three-dimensional closed hyperbolic manifolds are geodesically rigid. (Geschlossene hyperbolische 3-Mannigfaltigkeiten sind geodätisch starr.) Zbl 1076.53520Matveev, Vladimir S. 3 2001 Quantum integrability and complete separation of variables for projectively equivalent metrics on the torus. Zbl 1070.53500Matveev, Vladimir S. 1 2001 Metric with ergodic geodesic flow is completely determined by unparameterized geodesics. Zbl 0979.53032Matveev, Vladimir S.; Topalov, Petar J. 11 2000 Quantum integrability of the Beltrami-Laplace operator for geodesically equivalent metrics. Zbl 1047.58004Matveev, V. S. 6 2000 Commuting operators and separation of variables for Laplacians of projectively equivalent metrics. Zbl 1128.58301Matveev, Vladimir S. 3 2000 Geodesic equivalence of metrics on surfaces, and their integrability. Zbl 1041.37502Matveev, V. S.; Topalov, P. I. 10 1999 On integrals of the third degree in momenta. Zbl 1012.37036Dullin, H. R.; Matveev, V. S.; Topalov, P. Ĭ. 3 1999 Algorithmic classification of invariant neighborhoods for points of saddle-saddle type. Zbl 0951.37021Matveev, V. S.; Oshemkov, A. A. 1 1999 Trajectory equivalence and corresponding integrals. Zbl 0928.37003Matveev, V. S.; Topalov, P. Ĭ. 36 1998 Two-dimensional Riemannian metrics with integrable geodesic flows. Local and global geometry. Zbl 0917.58031Bolsinov, A. V.; Matveev, V. S.; Fomenko, A. T. 27 1998 The asymptotic eigenfunctions of the operator \(\nabla D(x,y)\nabla\) corresponding to Liouville metrics and waves on water captured by bottom irregularities. Zbl 0926.35103Matveev, V. S. 3 1998 Integrable Hamiltonian systems: Topological structure of saturated neighborhoods of nondegenerate singular points. Zbl 0989.37055Bolsinov, A. V.; Matveev, V. S. 3 1998 Conjugate points of hyperbolic geodesics of square integrable geodesic flows on closed surfaces. Zbl 0980.53098Matveev, V. S.; Topalov, P. 1 1998 A metric on a sphere that is geodesically equivalent to itself a metric of constant curvature is a metric of constant curvature. Zbl 1031.53061Matveev, V. S.; Topalov, P. 1 1998 Quadratically integrable geodesic flows on a torus and a Klein bottle. Zbl 0937.37011Matveev, V. S. 6 1997 Geodesic flows on the Klein bottle, integrable by polynomials in momenta of degree four. Zbl 0921.58049Matveev, V. S. 1 1997 Integrable Hamiltonian systems with two degrees of freedom. The topological structure of saturated neighbourhoods of points of focus-focus and saddle-saddle type. Zbl 0871.58045Matveev, V. S. 22 1996 ...and 1 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 365 Authors 58 Matveev, Vladimir S. 18 Bolsinov, Alexey V. 11 Gover, Ashwin Rod 11 Kruglikov, Boris S. 7 Manno, Gianni 7 Vollmer, Andreas 6 Mettler, Thomas 6 Rosemann, Stefan 6 Topalov, Peter J. 5 Čap, Andreas 5 Efstathiou, Konstantinos 5 Fomenko, Anatoliĭ Timofeevich 5 Konyaev, Andreĭ Yu. 5 Rafie-Rad, Mehdi 5 Shen, Bin 5 Valent, Galliano 5 Vincze, Csaba 4 Deng, Shaoqiang 4 Dunajski, Maciej 4 Eastwood, Michael G. 4 Kiosak, Volodymyr Anatolyevich 4 Martynchuk, Nikolay N. 4 Mikeš, Josef 4 Mounoud, Pierre 4 Muzsnay, Zoltán 4 Neusser, Katharina 4 Troyanov, Marc 4 Tsyganov, Andreĭ Vladimirovich 4 Xu, Ming 3 Bayrakdar, Tuna 3 Borisov, Alekseĭ Vladimirovich 3 Bucataru, Ioan 3 Calderbank, David M. J. 3 Caponio, Erasmo 3 Dullin, Holger R. 3 Dumitrescu, Sorin 3 Duval, Christian 3 Hall, Graham S. 3 Hammerl, Matthias 3 Javaloyes, Miguel Angel 3 Kiyohara, Kazuyoshi 3 Lang, Julius 3 Lytchak, Alexander 3 Miranda, Eva 3 Nurowski, Paweł 3 Oshemkov, Andreĭ Aleksandrovich 3 Roelands, Mark 3 Soucek, Vladimir 3 The, Dennis 3 Veselov, Alexander Petrovich 3 Wortel, Marten 3 Zhilinskií, Boris I. 2 Agafonov, Sergey I. 2 Agapov, Sergei Vadimovich 2 Albouy, Alain 2 Aldea, Nicoleta 2 Asanov, Gennadii S. 2 Benenti, Sergio 2 Bialy, Misha 2 Broer, Henk W. 2 Bryant, Robert L. 2 Burns, Keith 2 Castilho, César 2 Crampin, Mike 2 Creţu, Georgeta 2 de Medeiros, Paul 2 Dobrokhotov, Sergei Yurievich 2 Etayo Gordejuela, Fernando 2 Fordy, Allan P. 2 Foulon, Patrick 2 Fukuoka, Ryuichi 2 Gallego Torromé, Ricardo 2 Giacobbe, Andrea 2 Guseva, Nadezhda Ivanovna 2 Heil, Konstantin 2 Hinterleitner, Irena 2 Huang, Libing 2 Ivanov, Sergei Vladimirovich 2 Izosimov, A. M. 2 Kaloshin, Vadim Yu. 2 Kharlamov, Mikhail P. 2 Koiller, Jair 2 Kudryavtseva, Elena A. 2 Le Donne, Enrico 2 Lemmens, Bas 2 Li, Benling 2 Lorenzoni, Paolo 2 Lychagin, Valentin V. 2 Ma, Tianyu 2 Macbeth, Heather R. 2 Mamaev, Ivan Sergeevich 2 Masiello, Antonio 2 Merker, Joël 2 Milkovszki, Tamás 2 Minguzzi, Ettore 2 Moroianu, Andrei 2 Piccione, Paolo 2 Radnović, Milena 2 Rodrigues, Adriano Regis 2 Ryabov, Pavel Evgen’evich ...and 265 more Authors all top 5 Cited in 112 Serials 41 Journal of Geometry and Physics 21 Differential Geometry and its Applications 14 Regular and Chaotic Dynamics 13 The Journal of Geometric Analysis 10 Communications in Mathematical Physics 8 Journal of Mathematical Physics 8 Advances in Mathematics 8 Transactions of the American Mathematical Society 8 Journal of Mathematical Sciences (New York) 7 Geometriae Dedicata 7 Annals of Global Analysis and Geometry 7 International Journal of Geometric Methods in Modern Physics 6 Mathematische Annalen 5 Mathematical Notes 5 Annales de l’Institut Fourier 5 Proceedings of the American Mathematical Society 5 Transformation Groups 5 Proceedings of the International Geometry Center 5 European Journal of Mathematics 4 Letters in Mathematical Physics 4 Moscow University Mathematics Bulletin 4 Mathematische Zeitschrift 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Journal of Topology and Analysis 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Manuscripta Mathematica 3 Ergodic Theory and Dynamical Systems 3 Acta Applicandae Mathematicae 3 Physica D 3 International Journal of Mathematics 3 Russian Journal of Mathematical Physics 3 Geometry & Topology 3 Journal of High Energy Physics 3 Central European Journal of Mathematics 3 Journal of Fixed Point Theory and Applications 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Classical and Quantum Gravity 2 General Relativity and Gravitation 2 Nonlinearity 2 Reports on Mathematical Physics 2 Theoretical and Mathematical Physics 2 Archiv der Mathematik 2 Results in Mathematics 2 Siberian Mathematical Journal 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Indagationes Mathematicae. 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Serie V 1 Sibirskie Èlektronnye Matematicheskie Izvestiya ...and 12 more Serials all top 5 Cited in 29 Fields 266 Differential geometry (53-XX) 100 Dynamical systems and ergodic theory (37-XX) 58 Mechanics of particles and systems (70-XX) 57 Global analysis, analysis on manifolds (58-XX) 26 Partial differential equations (35-XX) 19 Several complex variables and analytic spaces (32-XX) 19 Quantum theory (81-XX) 17 Relativity and gravitational theory (83-XX) 14 Topological groups, Lie groups (22-XX) 12 Nonassociative rings and algebras (17-XX) 10 Manifolds and cell complexes (57-XX) 9 Ordinary differential equations (34-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Convex and discrete geometry (52-XX) 7 Algebraic geometry (14-XX) 5 Functions of a complex variable (30-XX) 4 Functional analysis (46-XX) 4 Geometry (51-XX) 3 History and biography (01-XX) 3 Fluid mechanics (76-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Probability theory and stochastic processes (60-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX) Citations by Year