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 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
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### 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
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### 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
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### 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)

### Citations contained in zbMATH Open

101 Publications have been cited 899 times in 344 Documents Cited by Year
Geometrical interpretation of Benenti systems. Zbl 1010.37035
Bolsinov, Alexey V.; Matveev, Vladimir S.
2003
Metric connections in projective differential geometry. Zbl 1144.53027
2008
A solution of a problem of Sophus Lie: normal forms of two-dimensional metrics admitting two projective vector fields. Zbl 1144.53025
Bryant, Robert L.; Manno, Gianni; Matveev, Vladimir S.
2008
Trajectory equivalence and corresponding integrals. Zbl 0928.37003
Matveev, V. S.; Topalov, P. Ĭ.
1998
Proof of the projective Lichnerowicz-Obata conjecture. Zbl 1115.53029
2007
Geodesic equivalence via integrability. Zbl 1017.37029
2003
The Binet-Legendre metric in Finsler geometry. Zbl 1258.53080
2012
Two-dimensional Riemannian metrics with integrable geodesic flows. Local and global geometry. Zbl 0917.58031
Bolsinov, A. V.; Matveev, V. S.; Fomenko, A. T.
1998
Complete Einstein metrics are geodesically rigid. Zbl 1170.53025
2009
Proof of the projective Lichnerowicz conjecture for pseudo-Riemannian metrics with degree of mobility greater than two. Zbl 1197.53055
2010
Finsler conformal Lichnerowicz-Obata conjecture. Zbl 1179.53075
Matveev, V. S.; Rademacher, H.-B.; Troyanov, M.; Zeghib, A.
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 0871.58045
Matveev, V. S.
1996
Hyperbolic manifolds are geodesically rigid. Zbl 1039.53046
2003
Quantum integrability of Beltrami-Laplace operator as geodesic equivalence. Zbl 0998.53025
Matveev, Vladimir S.; Topalov, Peter J.
2001
Geodesically equivalent metrics in general relativity. Zbl 1248.83018
2012
Two-dimensional superintegrable metrics with one linear and one cubic integral. Zbl 1218.53087
Matveev, Vladimir S.; Shevchishin, Vsevolod V.
2011
Local normal forms for geodesically equivalent pseudo-Riemannian metrics. Zbl 1320.53024
Bolsinov, Alexey V.; Matveev, Vladimir S.
2015
Lichnerowicz-Obata conjecture in dimension two. Zbl 1113.53025
2005
Gallot-Tanno theorem for closed incomplete pseudo-Riemannian manifolds and applications. Zbl 1204.53057
2010
Two-dimensional metrics admitting precisely one projective vector field. Zbl 1237.53013
2012
Splitting and gluing lemmas for geodesically equivalent pseudo-Riemannian metrics. Zbl 1220.53020
Bolsinov, Alexey V.; Matveev, Vladimir S.
2011
Geometric explanation of the Beltrami theorem. Zbl 1095.53023
2006
A new integrable system on the sphere. Zbl 1119.37039
Dullin, Holger R.; Matveev, Vladimir S.
2004
Normal forms for pseudo-Riemannian 2-dimensional metrics whose geodesic flows admit integrals quadratic in momenta. Zbl 1169.53054
Bolsinov, Alexey V.; Matveev, Vladimir S.; Pucacco, Giuseppe
2009
Proof of the Yano-Obata conjecture for $$h$$-projective transformations. Zbl 1277.53073
2012
Three-dimensional manifolds having metrics with the same geodesics. Zbl 1035.53117
2003
Metric with ergodic geodesic flow is completely determined by unparameterized geodesics. Zbl 0979.53032
Matveev, Vladimir S.; Topalov, Petar J.
2000
A Fubini theorem for pseudo-Riemannian geodesically equivalent metrics. Zbl 1175.53022
Bolsinov, Alexey V.; Kiosak, Volodymyr; Matveev, Vladimir S.
2009
The geodesic flow of a generic metric does not admit nontrivial integrals polynomial in momenta. Zbl 1350.37064
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 1251.37058
2012
Geodesic equivalence of metrics on surfaces, and their integrability. Zbl 1041.37502
Matveev, V. S.; Topalov, P. I.
1999
The only Kähler manifold with degree of mobility at least 3 is $$(\mathbb CP(n), g_{\text{Fubini-Study}})$$. Zbl 1248.53054
Fedorova, A.; Kiosak, V.; Matveev, V. S.; Rosemann, S.
2012
Beltrami problem, Lichnerowich–Obata conjecture and applications of integrable systems in differentiable geometry. Zbl 1133.53303
Matveev, V. S.
2005
Degree of mobility for metrics of Lorentzian signature and parallel $$(0,2)$$-tensor fields on cone manifolds. Zbl 1310.53020
2014
Riemannian metrics having common geodesics with Berwald metrics. Zbl 1199.53160
2009
The Obata conjecture for dimension 2. (Die Vermutung von Obata für Dimension 2.) Zbl 1076.53052
2004
Open problems, questions and challenges in finite- dimensional integrable systems. Zbl 1407.53089
Bolsinov, Alexey; Matveev, Vladimir S.; Miranda, Eva; Tabachnikov, Serge
2018
Projectively related metrics, Weyl nullity and metric projectively invariant equations. Zbl 1388.58005
Gover, A. Rod; Matveev, Vladimir S.
2017
Gallot-Tanno theorem for pseudo-Riemannian metrics and a proof that decomposable cones over closed complete pseudo-Riemannian manifolds do not exist. Zbl 1207.53072
2010
Conification construction for Kähler manifolds and its application in $$c$$-projective geometry. Zbl 1370.53052
2015
On “All regular Landsberg metrics are always Berwald” by Z. I. Szabó. Zbl 1187.53021
2009
Differential invariants for cubic integrals of geodesic flows on surfaces. Zbl 1202.53081
Matveev, Vladimir S.; Shevchishin, Vsevolod V.
2010
There are no conformal Einstein rescalings of complete pseudo-Riemannian Einstein metrics. Zbl 1173.53020
2009
On the rigidity of magnetic systems with the same magnetic geodesics. Zbl 1079.37019
2006
Quantum integrability of the Beltrami-Laplace operator for geodesically equivalent metrics. Zbl 1047.58004
Matveev, V. S.
2000
Isometries of two dimensional Hilbert geometries. Zbl 1362.51005
2015
Quadratically integrable geodesic flows on a torus and a Klein bottle. Zbl 0937.37011
Matveev, V. S.
1997
Zermelo deformation of Finsler metrics by Killing vector fields. Zbl 1402.53019
2018
Vanishing of the entropy pseudonorm for certain integrable systems. Zbl 1186.37067
Kruglikov, Boris S.; Matveev, Vladimir S.
2006
On projectively equivalent metrics near points of bifurcation. Zbl 1329.53116
2006
On projective equivalence and pointwise projective relation of Randers metrics. Zbl 1253.53018
2012
Strictly non-proportional geodesically equivalent metrics have $$h_{\mathrm{top}}(g) = 0$$. Zbl 1094.53037
Kruglikov, Boris S.; Matveev, Vladimir S.
2006
A criterion for compatibility of conformal and projective structures. Zbl 1298.53021
2014
Submaximally symmetric $$c$$-projective structures. Zbl 1336.32023
Kruglikov, Boris; Matveev, Vladimir; The, Dennis
2016
Four-dimensional Kähler metrics admitting c-projective vector fields. Zbl 1312.53095
Bolsinov, Alexey V.; Matveev, Vladimir S.; Mettler, Thomas; Rosemann, Stefan
2015
Integrability in the theory of geodesically equivalent metrics. Zbl 0983.53024
Matveev, Vladimir S.; Topalov, Peter J.
2001
Chains in CR geometry as geodesics of a Kropina metric. Zbl 1420.32025
Cheng, Jih-Hsin; Marugame, Taiji; Matveev, Vladimir S.; Montgomery, Richard
2019
Projectively invariant objects and the index of the group of affine transformations in the group of projective transformations. Zbl 1426.53024
2018
On the degree of geodesic mobility for Riemannian metrics. Zbl 1200.53044
Kiosak, V. A.; Matveev, V. S.; Mikeš, J.; Shandra, I. G.
2010
The Solodovnikov theorem in dimension two. Zbl 1246.53113
Matveev, V. S.
2004
On degree of mobility for complete metrics. Zbl 1131.53013
2006
Can we make a Finsler metric complete by a trivial projective change? Zbl 1279.53070
2013
Submaximal metric projective and metric affine structures. Zbl 1295.53012
2014
Projectively equivalent metrics on the torus. Zbl 1051.37030
2004
Monochromatic metrics are generalized Berwald. Zbl 1387.53032
2018
Commuting operators and separation of variables for Laplacians of projectively equivalent metrics. Zbl 1128.58301
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 0926.35103
Matveev, V. S.
1998
Integrable Hamiltonian systems: Topological structure of saturated neighborhoods of nondegenerate singular points. Zbl 0989.37055
Bolsinov, A. V.; Matveev, V. S.
1998
Three-dimensional closed hyperbolic manifolds are geodesically rigid. (Geschlossene hyperbolische 3-Mannigfaltigkeiten sind geodätisch starr.) Zbl 1076.53520
2001
The Myers-Steenrod theorem for Finsler manifolds of low regularity. Zbl 1362.53083
2017
The eigenvalues of the Sinyukov mapping for geodesically equivalent metrics are globally ordered. Zbl 1114.53039
Matveev, V. S.
2005
On integrals of the third degree in momenta. Zbl 1012.37036
Dullin, H. R.; Matveev, V. S.; Topalov, P. Ĭ.
1999
On the number of nontrivial projective transformations of closed manifolds. Zbl 1388.53016
2017
Curvature and the c-projective mobility of Kähler metrics with Hamiltonian 2-forms. Zbl 1373.53096
Calderbank, David M. J.; Matveev, Vladimir S.; Rosemann, Stefan
2016
Completeness and incompleteness of the Binet-Legendre metric. Zbl 1343.53076
2015
Some remarks on Nijenhuis brackets, formality, and Kähler manifolds. Zbl 1283.58001
De Bartolomeis, Paolo; Matveev, Vladimir S.
2013
There exist no 4-dimensional geodesically equivalent metrics with the same stress-energy tensor. Zbl 1284.53069
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 1357.37002
Bolsinov, Alexey; Morales-Ruiz, Juan J.; Nguyen Tien Zung
2016
A counterexample to Belgun-Moroianu conjecture. (Un contre-exemple à la conjecture de Belgun-Moroianu.) Zbl 1316.53038
2015
Low dimensional manifolds admitting metrics with the same geodesics. Zbl 1076.53051
2002
Three-manifolds admitting metrics with the same geodesics. Zbl 1013.53026
2002
Closed manifolds admitting metrics with the same geodesics. Zbl 1136.53315
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 1400.53064
2017
The degree of mobility of Einstein metrics. Zbl 1330.53090
2016
Smoothing 3-dimensional polyhedral spaces. Zbl 1346.53040
Shevchishin, Vsevolod; Petrunin, Anton; Matveev, Vladimir; Lebedeva, Nina
2015
Geodesic behavior for Finsler metrics of constant positive flag curvature on $$S^2$$. Zbl 07297237
Bryant, R. L.; Foulon, P.; Ivanov, S. V.; Matveev, V. S.; Ziller, W.
2021
$$C$$-projective geometry. Zbl 1482.53001
Calderbank, David M. J.; Eastwood, Michael G.; Matveev, Vladimir S.; Neusser, Katharina
2020
Compatibility of Gauß maps with metrics. Zbl 1186.53008
Eschenburg, Jost-Hinrich; Kruglikov, B. S.; Matveev, Vladimir S.; Tribuzy, Renato
2010
On the dimension of the group of projective transformations of closed Randers and Riemannian manifolds. Zbl 1247.53087
2012
Conjugate points of hyperbolic geodesics of square integrable geodesic flows on closed surfaces. Zbl 0980.53098
Matveev, V. S.; Topalov, P.
1998
Quantum integrability and complete separation of variables for projectively equivalent metrics on the torus. Zbl 1070.53500
2001
Geodesic flows on the Klein bottle, integrable by polynomials in momenta of degree four. Zbl 0921.58049
Matveev, V. S.
1997
Singularities of momentum maps of integrable Hamiltonian systems with two degrees of freedom. Zbl 1114.37304
Bolsinov, A. V.; Matveev, V. S.
1996
A metric on a sphere that is geodesically equivalent to itself a metric of constant curvature is a metric of constant curvature. Zbl 1031.53061
Matveev, V. S.; Topalov, P.
1998
Algorithmic classification of invariant neighborhoods for points of saddle-saddle type. Zbl 0951.37021
Matveev, V. S.; Oshemkov, A. A.
1999
Editors’ foreword for the special issue “Finsler geometry, new methods and perspectives”. Zbl 1384.00079
2017
On the groups of c-projective transformations of complete Kähler manifolds. Zbl 1414.32023
2018
Two remarks on $$PQ^{\epsilon}$$-projectivity of Riemannian metrics. Zbl 1261.53016
2013
Applications of Nijenhuis geometry. II: Maximal pencils of multi-Hamiltonian structures of hydrodynamic type. Zbl 1475.37075
Bolsinov, Alexey V.; Konyaev, Andrey Yu; Matveev, Vladimir S.
2021
Almost all Finsler metrics have infinite dimensional holonomy group. Zbl 1476.53076
Hubicska, B.; Matveev, V. S.; Muzsnay, Z.
2021
Geodesic behavior for Finsler metrics of constant positive flag curvature on $$S^2$$. Zbl 07297237
Bryant, R. L.; Foulon, P.; Ivanov, S. V.; Matveev, V. S.; Ziller, W.
2021
Applications of Nijenhuis geometry. II: Maximal pencils of multi-Hamiltonian structures of hydrodynamic type. Zbl 1475.37075
Bolsinov, Alexey V.; Konyaev, Andrey Yu; Matveev, Vladimir S.
2021
Almost all Finsler metrics have infinite dimensional holonomy group. Zbl 1476.53076
Hubicska, B.; Matveev, V. S.; Muzsnay, Z.
2021
Open problems and questions about geodesics. Zbl 07454639
2021
$$C$$-projective geometry. Zbl 1482.53001
Calderbank, David M. J.; Eastwood, Michael G.; Matveev, Vladimir S.; Neusser, Katharina
2020
Chains in CR geometry as geodesics of a Kropina metric. Zbl 1420.32025
Cheng, Jih-Hsin; Marugame, Taiji; Matveev, Vladimir S.; Montgomery, Richard
2019
Open problems, questions and challenges in finite- dimensional integrable systems. Zbl 1407.53089
Bolsinov, Alexey; Matveev, Vladimir S.; Miranda, Eva; Tabachnikov, Serge
2018
Zermelo deformation of Finsler metrics by Killing vector fields. Zbl 1402.53019
2018
Projectively invariant objects and the index of the group of affine transformations in the group of projective transformations. Zbl 1426.53024
2018
Monochromatic metrics are generalized Berwald. Zbl 1387.53032
2018
On the groups of c-projective transformations of complete Kähler manifolds. Zbl 1414.32023
2018
Projectively related metrics, Weyl nullity and metric projectively invariant equations. Zbl 1388.58005
Gover, A. Rod; Matveev, Vladimir S.
2017
The Myers-Steenrod theorem for Finsler manifolds of low regularity. Zbl 1362.53083
2017
On the number of nontrivial projective transformations of closed manifolds. Zbl 1388.53016
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 1400.53064
2017
Editors’ foreword for the special issue “Finsler geometry, new methods and perspectives”. Zbl 1384.00079
2017
The geodesic flow of a generic metric does not admit nontrivial integrals polynomial in momenta. Zbl 1350.37064
2016
Submaximally symmetric $$c$$-projective structures. Zbl 1336.32023
Kruglikov, Boris; Matveev, Vladimir; The, Dennis
2016
Curvature and the c-projective mobility of Kähler metrics with Hamiltonian 2-forms. Zbl 1373.53096
Calderbank, David M. J.; Matveev, Vladimir S.; Rosemann, Stefan
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 1357.37002
Bolsinov, Alexey; Morales-Ruiz, Juan J.; Nguyen Tien Zung
2016
The degree of mobility of Einstein metrics. Zbl 1330.53090
2016
Local normal forms for geodesically equivalent pseudo-Riemannian metrics. Zbl 1320.53024
Bolsinov, Alexey V.; Matveev, Vladimir S.
2015
Conification construction for Kähler manifolds and its application in $$c$$-projective geometry. Zbl 1370.53052
2015
Isometries of two dimensional Hilbert geometries. Zbl 1362.51005
2015
Four-dimensional Kähler metrics admitting c-projective vector fields. Zbl 1312.53095
Bolsinov, Alexey V.; Matveev, Vladimir S.; Mettler, Thomas; Rosemann, Stefan
2015
Completeness and incompleteness of the Binet-Legendre metric. Zbl 1343.53076
2015
A counterexample to Belgun-Moroianu conjecture. (Un contre-exemple à la conjecture de Belgun-Moroianu.) Zbl 1316.53038
2015
Smoothing 3-dimensional polyhedral spaces. Zbl 1346.53040
Shevchishin, Vsevolod; Petrunin, Anton; Matveev, Vladimir; Lebedeva, Nina
2015
Degree of mobility for metrics of Lorentzian signature and parallel $$(0,2)$$-tensor fields on cone manifolds. Zbl 1310.53020
2014
A criterion for compatibility of conformal and projective structures. Zbl 1298.53021
2014
Submaximal metric projective and metric affine structures. Zbl 1295.53012
2014
There exist no 4-dimensional geodesically equivalent metrics with the same stress-energy tensor. Zbl 1284.53069
2014
Can we make a Finsler metric complete by a trivial projective change? Zbl 1279.53070
2013
Some remarks on Nijenhuis brackets, formality, and Kähler manifolds. Zbl 1283.58001
De Bartolomeis, Paolo; Matveev, Vladimir S.
2013
Two remarks on $$PQ^{\epsilon}$$-projectivity of Riemannian metrics. Zbl 1261.53016
2013
The Binet-Legendre metric in Finsler geometry. Zbl 1258.53080
2012
Geodesically equivalent metrics in general relativity. Zbl 1248.83018
2012
Two-dimensional metrics admitting precisely one projective vector field. Zbl 1237.53013
2012
Proof of the Yano-Obata conjecture for $$h$$-projective transformations. Zbl 1277.53073
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 1251.37058
2012
The only Kähler manifold with degree of mobility at least 3 is $$(\mathbb CP(n), g_{\text{Fubini-Study}})$$. Zbl 1248.53054
Fedorova, A.; Kiosak, V.; Matveev, V. S.; Rosemann, S.
2012
On projective equivalence and pointwise projective relation of Randers metrics. Zbl 1253.53018
2012
On the dimension of the group of projective transformations of closed Randers and Riemannian manifolds. Zbl 1247.53087
2012
Two-dimensional superintegrable metrics with one linear and one cubic integral. Zbl 1218.53087
Matveev, Vladimir S.; Shevchishin, Vsevolod V.
2011
Splitting and gluing lemmas for geodesically equivalent pseudo-Riemannian metrics. Zbl 1220.53020
Bolsinov, Alexey V.; Matveev, Vladimir S.
2011
Proof of the projective Lichnerowicz conjecture for pseudo-Riemannian metrics with degree of mobility greater than two. Zbl 1197.53055
2010
Gallot-Tanno theorem for closed incomplete pseudo-Riemannian manifolds and applications. Zbl 1204.53057
2010
Gallot-Tanno theorem for pseudo-Riemannian metrics and a proof that decomposable cones over closed complete pseudo-Riemannian manifolds do not exist. Zbl 1207.53072
2010
Differential invariants for cubic integrals of geodesic flows on surfaces. Zbl 1202.53081
Matveev, Vladimir S.; Shevchishin, Vsevolod V.
2010
On the degree of geodesic mobility for Riemannian metrics. Zbl 1200.53044
Kiosak, V. A.; Matveev, V. S.; Mikeš, J.; Shandra, I. G.
2010
Compatibility of Gauß maps with metrics. Zbl 1186.53008
Eschenburg, Jost-Hinrich; Kruglikov, B. S.; Matveev, Vladimir S.; Tribuzy, Renato
2010
Complete Einstein metrics are geodesically rigid. Zbl 1170.53025
2009
Finsler conformal Lichnerowicz-Obata conjecture. Zbl 1179.53075
Matveev, V. S.; Rademacher, H.-B.; Troyanov, M.; Zeghib, A.
2009
Normal forms for pseudo-Riemannian 2-dimensional metrics whose geodesic flows admit integrals quadratic in momenta. Zbl 1169.53054
Bolsinov, Alexey V.; Matveev, Vladimir S.; Pucacco, Giuseppe
2009
A Fubini theorem for pseudo-Riemannian geodesically equivalent metrics. Zbl 1175.53022
Bolsinov, Alexey V.; Kiosak, Volodymyr; Matveev, Vladimir S.
2009
Riemannian metrics having common geodesics with Berwald metrics. Zbl 1199.53160
2009
On “All regular Landsberg metrics are always Berwald” by Z. I. Szabó. Zbl 1187.53021
2009
There are no conformal Einstein rescalings of complete pseudo-Riemannian Einstein metrics. Zbl 1173.53020
2009
Metric connections in projective differential geometry. Zbl 1144.53027
2008
A solution of a problem of Sophus Lie: normal forms of two-dimensional metrics admitting two projective vector fields. Zbl 1144.53025
Bryant, Robert L.; Manno, Gianni; Matveev, Vladimir S.
2008
Proof of the projective Lichnerowicz-Obata conjecture. Zbl 1115.53029
2007
Geometric explanation of the Beltrami theorem. Zbl 1095.53023
2006
On the rigidity of magnetic systems with the same magnetic geodesics. Zbl 1079.37019
2006
Vanishing of the entropy pseudonorm for certain integrable systems. Zbl 1186.37067
Kruglikov, Boris S.; Matveev, Vladimir S.
2006
On projectively equivalent metrics near points of bifurcation. Zbl 1329.53116
2006
Strictly non-proportional geodesically equivalent metrics have $$h_{\mathrm{top}}(g) = 0$$. Zbl 1094.53037
Kruglikov, Boris S.; Matveev, Vladimir S.
2006
On degree of mobility for complete metrics. Zbl 1131.53013
2006
Lichnerowicz-Obata conjecture in dimension two. Zbl 1113.53025
2005
Beltrami problem, Lichnerowich–Obata conjecture and applications of integrable systems in differentiable geometry. Zbl 1133.53303
Matveev, V. S.
2005
The eigenvalues of the Sinyukov mapping for geodesically equivalent metrics are globally ordered. Zbl 1114.53039
Matveev, V. S.
2005
Closed manifolds admitting metrics with the same geodesics. Zbl 1136.53315
2005
A new integrable system on the sphere. Zbl 1119.37039
Dullin, Holger R.; Matveev, Vladimir S.
2004
The Obata conjecture for dimension 2. (Die Vermutung von Obata für Dimension 2.) Zbl 1076.53052
2004
The Solodovnikov theorem in dimension two. Zbl 1246.53113
Matveev, V. S.
2004
Projectively equivalent metrics on the torus. Zbl 1051.37030
2004
Geometrical interpretation of Benenti systems. Zbl 1010.37035
Bolsinov, Alexey V.; Matveev, Vladimir S.
2003
Geodesic equivalence via integrability. Zbl 1017.37029
2003
Hyperbolic manifolds are geodesically rigid. Zbl 1039.53046
2003
Three-dimensional manifolds having metrics with the same geodesics. Zbl 1035.53117
2003
Low dimensional manifolds admitting metrics with the same geodesics. Zbl 1076.53051
2002
Three-manifolds admitting metrics with the same geodesics. Zbl 1013.53026
2002
Quantum integrability of Beltrami-Laplace operator as geodesic equivalence. Zbl 0998.53025
Matveev, Vladimir S.; Topalov, Peter J.
2001
Integrability in the theory of geodesically equivalent metrics. Zbl 0983.53024
Matveev, Vladimir S.; Topalov, Peter J.
2001
Three-dimensional closed hyperbolic manifolds are geodesically rigid. (Geschlossene hyperbolische 3-Mannigfaltigkeiten sind geodätisch starr.) Zbl 1076.53520
2001
Quantum integrability and complete separation of variables for projectively equivalent metrics on the torus. Zbl 1070.53500
2001
Metric with ergodic geodesic flow is completely determined by unparameterized geodesics. Zbl 0979.53032
Matveev, Vladimir S.; Topalov, Petar J.
2000
Quantum integrability of the Beltrami-Laplace operator for geodesically equivalent metrics. Zbl 1047.58004
Matveev, V. S.
2000
Commuting operators and separation of variables for Laplacians of projectively equivalent metrics. Zbl 1128.58301
2000
Geodesic equivalence of metrics on surfaces, and their integrability. Zbl 1041.37502
Matveev, V. S.; Topalov, P. I.
1999
On integrals of the third degree in momenta. Zbl 1012.37036
Dullin, H. R.; Matveev, V. S.; Topalov, P. Ĭ.
1999
Algorithmic classification of invariant neighborhoods for points of saddle-saddle type. Zbl 0951.37021
Matveev, V. S.; Oshemkov, A. A.
1999
Trajectory equivalence and corresponding integrals. Zbl 0928.37003
Matveev, V. S.; Topalov, P. Ĭ.
1998
Two-dimensional Riemannian metrics with integrable geodesic flows. Local and global geometry. Zbl 0917.58031
Bolsinov, A. V.; Matveev, V. S.; Fomenko, A. T.
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 0926.35103
Matveev, V. S.
1998
Integrable Hamiltonian systems: Topological structure of saturated neighborhoods of nondegenerate singular points. Zbl 0989.37055
Bolsinov, A. V.; Matveev, V. S.
1998
Conjugate points of hyperbolic geodesics of square integrable geodesic flows on closed surfaces. Zbl 0980.53098
Matveev, V. S.; Topalov, P.
1998
A metric on a sphere that is geodesically equivalent to itself a metric of constant curvature is a metric of constant curvature. Zbl 1031.53061
Matveev, V. S.; Topalov, P.
1998
Quadratically integrable geodesic flows on a torus and a Klein bottle. Zbl 0937.37011
Matveev, V. S.
1997
Geodesic flows on the Klein bottle, integrable by polynomials in momenta of degree four. Zbl 0921.58049
Matveev, V. S.
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 0871.58045
Matveev, V. S.
1996
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