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Matveev, Vladimir S.

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Author ID: matveev.vladimir-s Recent zbMATH articles by "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/
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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

Publications by Year

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.
38
2003
Metric connections in projective differential geometry. Zbl 1144.53027
Eastwood, 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 1144.53025
Bryant, Robert L.; Manno, Gianni; Matveev, Vladimir S.
36
2008
Trajectory equivalence and corresponding integrals. Zbl 0928.37003
Matveev, V. S.; Topalov, P. Ĭ.
36
1998
Proof of the projective Lichnerowicz-Obata conjecture. Zbl 1115.53029
Matveev, Vladimir S.
35
2007
Geodesic equivalence via integrability. Zbl 1017.37029
Topalov, Peter; Matveev, Vladimir S.
32
2003
The Binet-Legendre metric in Finsler geometry. Zbl 1258.53080
Matveev, Vladimir S.; Troyanov, Marc
31
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.
27
1998
Complete Einstein metrics are geodesically rigid. Zbl 1170.53025
Kiosak, Volodymyr; Matveev, Vladimir S.
24
2009
Proof of the projective Lichnerowicz conjecture for pseudo-Riemannian metrics with degree of mobility greater than two. Zbl 1197.53055
Kiosak, Volodymyr; Matveev, Vladimir S.
22
2010
Finsler conformal Lichnerowicz-Obata conjecture. Zbl 1179.53075
Matveev, 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 0871.58045
Matveev, V. S.
22
1996
Hyperbolic manifolds are geodesically rigid. Zbl 1039.53046
Matveev, Vladimir S.
21
2003
Quantum integrability of Beltrami-Laplace operator as geodesic equivalence. Zbl 0998.53025
Matveev, Vladimir S.; Topalov, Peter J.
19
2001
Geodesically equivalent metrics in general relativity. Zbl 1248.83018
Matveev, Vladimir S.
18
2012
Two-dimensional superintegrable metrics with one linear and one cubic integral. Zbl 1218.53087
Matveev, Vladimir S.; Shevchishin, Vsevolod V.
17
2011
Local normal forms for geodesically equivalent pseudo-Riemannian metrics. Zbl 1320.53024
Bolsinov, Alexey V.; Matveev, Vladimir S.
17
2015
Lichnerowicz-Obata conjecture in dimension two. Zbl 1113.53025
Matveev, Vladimir S.
17
2005
Gallot-Tanno theorem for closed incomplete pseudo-Riemannian manifolds and applications. Zbl 1204.53057
Matveev, Vladimir S.; Mounoud, Pierre
16
2010
Two-dimensional metrics admitting precisely one projective vector field. Zbl 1237.53013
Matveev, Vladimir S.
16
2012
Splitting and gluing lemmas for geodesically equivalent pseudo-Riemannian metrics. Zbl 1220.53020
Bolsinov, Alexey V.; Matveev, Vladimir S.
15
2011
Geometric explanation of the Beltrami theorem. Zbl 1095.53023
Matveev, Vladimir S.
15
2006
A new integrable system on the sphere. Zbl 1119.37039
Dullin, Holger R.; Matveev, Vladimir S.
14
2004
Normal forms for pseudo-Riemannian 2-dimensional metrics whose geodesic flows admit integrals quadratic in momenta. Zbl 1169.53054
Bolsinov, Alexey V.; Matveev, Vladimir S.; Pucacco, Giuseppe
12
2009
Proof of the Yano-Obata conjecture for \(h\)-projective transformations. Zbl 1277.53073
Matveev, Vladimir S.; Rosemann, Stefan
12
2012
Three-dimensional manifolds having metrics with the same geodesics. Zbl 1035.53117
Matveev, Vladimir S.
11
2003
Metric with ergodic geodesic flow is completely determined by unparameterized geodesics. Zbl 0979.53032
Matveev, Vladimir S.; Topalov, Petar J.
11
2000
A Fubini theorem for pseudo-Riemannian geodesically equivalent metrics. Zbl 1175.53022
Bolsinov, 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 1350.37064
Kruglikov, 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 1251.37058
Matveev, Vladimir S.
10
2012
Geodesic equivalence of metrics on surfaces, and their integrability. Zbl 1041.37502
Matveev, 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 1248.53054
Fedorova, A.; Kiosak, V.; Matveev, V. S.; Rosemann, S.
9
2012
Beltrami problem, Lichnerowich–Obata conjecture and applications of integrable systems in differentiable geometry. Zbl 1133.53303
Matveev, V. S.
9
2005
Degree of mobility for metrics of Lorentzian signature and parallel \((0,2)\)-tensor fields on cone manifolds. Zbl 1310.53020
Fedorova, Aleksandra; Matveev, Vladimir S.
9
2014
Riemannian metrics having common geodesics with Berwald metrics. Zbl 1199.53160
Matveev, Vladimir S.
9
2009
The Obata conjecture for dimension 2. (Die Vermutung von Obata für Dimension 2.) Zbl 1076.53052
Matveev, Vladimir S.
8
2004
Open problems, questions and challenges in finite- dimensional integrable systems. Zbl 1407.53089
Bolsinov, Alexey; Matveev, Vladimir S.; Miranda, Eva; Tabachnikov, Serge
8
2018
Projectively related metrics, Weyl nullity and metric projectively invariant equations. Zbl 1388.58005
Gover, 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 1207.53072
Matveev, Vladimir S.
7
2010
Conification construction for Kähler manifolds and its application in \(c\)-projective geometry. Zbl 1370.53052
Matveev, Vladimir S.; Rosemann, Stefan
7
2015
On “All regular Landsberg metrics are always Berwald” by Z. I. Szabó. Zbl 1187.53021
Matveev, Vladimir S.
7
2009
Differential invariants for cubic integrals of geodesic flows on surfaces. Zbl 1202.53081
Matveev, Vladimir S.; Shevchishin, Vsevolod V.
6
2010
There are no conformal Einstein rescalings of complete pseudo-Riemannian Einstein metrics. Zbl 1173.53020
Kiosak, Volodymyr; Matveev, Vladimir S.
6
2009
On the rigidity of magnetic systems with the same magnetic geodesics. Zbl 1079.37019
Burns, Keith; Matveev, Vladimir S.
6
2006
Quantum integrability of the Beltrami-Laplace operator for geodesically equivalent metrics. Zbl 1047.58004
Matveev, V. S.
6
2000
Isometries of two dimensional Hilbert geometries. Zbl 1362.51005
Matveev, Vladimir S.; Troyanov, Marc
6
2015
Quadratically integrable geodesic flows on a torus and a Klein bottle. Zbl 0937.37011
Matveev, V. S.
6
1997
Zermelo deformation of Finsler metrics by Killing vector fields. Zbl 1402.53019
Foulon, Patrick; Matveev, Vladimir S.
6
2018
Vanishing of the entropy pseudonorm for certain integrable systems. Zbl 1186.37067
Kruglikov, Boris S.; Matveev, Vladimir S.
5
2006
On projectively equivalent metrics near points of bifurcation. Zbl 1329.53116
Matveev, Vladimir S.
5
2006
On projective equivalence and pointwise projective relation of Randers metrics. Zbl 1253.53018
Matveev, Vladimir S.
5
2012
Strictly non-proportional geodesically equivalent metrics have \(h_{\mathrm{top}}(g) = 0\). Zbl 1094.53037
Kruglikov, Boris S.; Matveev, Vladimir S.
5
2006
A criterion for compatibility of conformal and projective structures. Zbl 1298.53021
Matveev, Vladimir S.; Trautman, Andrzej
5
2014
Submaximally symmetric \(c\)-projective structures. Zbl 1336.32023
Kruglikov, Boris; Matveev, Vladimir; The, Dennis
5
2016
Four-dimensional Kähler metrics admitting c-projective vector fields. Zbl 1312.53095
Bolsinov, Alexey V.; Matveev, Vladimir S.; Mettler, Thomas; Rosemann, Stefan
5
2015
Integrability in the theory of geodesically equivalent metrics. Zbl 0983.53024
Matveev, Vladimir S.; Topalov, Peter J.
5
2001
Chains in CR geometry as geodesics of a Kropina metric. Zbl 1420.32025
Cheng, 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 1426.53024
Matveev, Vladimir S.
4
2018
On the degree of geodesic mobility for Riemannian metrics. Zbl 1200.53044
Kiosak, V. A.; Matveev, V. S.; Mikeš, J.; Shandra, I. G.
4
2010
The Solodovnikov theorem in dimension two. Zbl 1246.53113
Matveev, V. S.
4
2004
On degree of mobility for complete metrics. Zbl 1131.53013
Matveev, Vladimir S.
4
2006
Can we make a Finsler metric complete by a trivial projective change? Zbl 1279.53070
Matveev, Vladimir S.
4
2013
Submaximal metric projective and metric affine structures. Zbl 1295.53012
Kruglikov, Boris; Matveev, Vladimir
4
2014
Projectively equivalent metrics on the torus. Zbl 1051.37030
Matveev, Vladimir S.
4
2004
Monochromatic metrics are generalized Berwald. Zbl 1387.53032
Bartelmeß, Nina; Matveev, Vladimir S.
4
2018
Commuting operators and separation of variables for Laplacians of projectively equivalent metrics. Zbl 1128.58301
Matveev, 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 0926.35103
Matveev, V. S.
3
1998
Integrable Hamiltonian systems: Topological structure of saturated neighborhoods of nondegenerate singular points. Zbl 0989.37055
Bolsinov, A. V.; Matveev, V. S.
3
1998
Three-dimensional closed hyperbolic manifolds are geodesically rigid. (Geschlossene hyperbolische 3-Mannigfaltigkeiten sind geodätisch starr.) Zbl 1076.53520
Matveev, Vladimir S.
3
2001
The Myers-Steenrod theorem for Finsler manifolds of low regularity. Zbl 1362.53083
Matveev, Vladimir S.; Troyanov, Marc
3
2017
The eigenvalues of the Sinyukov mapping for geodesically equivalent metrics are globally ordered. Zbl 1114.53039
Matveev, V. S.
3
2005
On integrals of the third degree in momenta. Zbl 1012.37036
Dullin, H. R.; Matveev, V. S.; Topalov, P. Ĭ.
3
1999
On the number of nontrivial projective transformations of closed manifolds. Zbl 1388.53016
Matveev, Vladimir S.
3
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
3
2016
Completeness and incompleteness of the Binet-Legendre metric. Zbl 1343.53076
Matveev, Vladimir S.; Troyanov, Marc
2
2015
Some remarks on Nijenhuis brackets, formality, and Kähler manifolds. Zbl 1283.58001
De Bartolomeis, Paolo; Matveev, Vladimir S.
2
2013
There exist no 4-dimensional geodesically equivalent metrics with the same stress-energy tensor. Zbl 1284.53069
Kiosak, 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 1357.37002
Bolsinov, 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 1316.53038
Matveev, Vladimir S.; Nikolayevsky, Yuri
2
2015
Low dimensional manifolds admitting metrics with the same geodesics. Zbl 1076.53051
Matveev, Vladimir S.
2
2002
Three-manifolds admitting metrics with the same geodesics. Zbl 1013.53026
Matveev, Vladimir S.
2
2002
Closed manifolds admitting metrics with the same geodesics. Zbl 1136.53315
Matveev, 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 1400.53064
Matveev, Vladimir S.; Nikolayevsky, Yuri
2
2017
The degree of mobility of Einstein metrics. Zbl 1330.53090
Matveev, Vladimir S.; Rosemann, Stefan
2
2016
Smoothing 3-dimensional polyhedral spaces. Zbl 1346.53040
Shevchishin, Vsevolod; Petrunin, Anton; Matveev, Vladimir; Lebedeva, Nina
2
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.
2
2021
\(C\)-projective geometry. Zbl 1482.53001
Calderbank, David M. J.; Eastwood, Michael G.; Matveev, Vladimir S.; Neusser, Katharina
1
2020
Compatibility of Gauß maps with metrics. Zbl 1186.53008
Eschenburg, 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 1247.53087
Matveev, Vladimir S.
1
2012
Conjugate points of hyperbolic geodesics of square integrable geodesic flows on closed surfaces. Zbl 0980.53098
Matveev, V. S.; Topalov, P.
1
1998
Quantum integrability and complete separation of variables for projectively equivalent metrics on the torus. Zbl 1070.53500
Matveev, Vladimir S.
1
2001
Geodesic flows on the Klein bottle, integrable by polynomials in momenta of degree four. Zbl 0921.58049
Matveev, V. S.
1
1997
Singularities of momentum maps of integrable Hamiltonian systems with two degrees of freedom. Zbl 1114.37304
Bolsinov, 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 1031.53061
Matveev, V. S.; Topalov, P.
1
1998
Algorithmic classification of invariant neighborhoods for points of saddle-saddle type. Zbl 0951.37021
Matveev, 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 1414.32023
Matveev, Vladimir S.; Neusser, Katharina
1
2018
Two remarks on \(PQ^{\epsilon}\)-projectivity of Riemannian metrics. Zbl 1261.53016
Matveev, Vladimir S.; Rosemann, Stefan
1
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.
1
2021
Almost all Finsler metrics have infinite dimensional holonomy group. Zbl 1476.53076
Hubicska, B.; Matveev, V. S.; Muzsnay, Z.
1
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.
2
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.
1
2021
Almost all Finsler metrics have infinite dimensional holonomy group. Zbl 1476.53076
Hubicska, B.; Matveev, V. S.; Muzsnay, Z.
1
2021
Open problems and questions about geodesics. Zbl 07454639
Burns, Keith; Matveev, Vladimir S.
1
2021
\(C\)-projective geometry. Zbl 1482.53001
Calderbank, David M. J.; Eastwood, Michael G.; Matveev, Vladimir S.; Neusser, Katharina
1
2020
Chains in CR geometry as geodesics of a Kropina metric. Zbl 1420.32025
Cheng, Jih-Hsin; Marugame, Taiji; Matveev, Vladimir S.; Montgomery, Richard
5
2019
Open problems, questions and challenges in finite- dimensional integrable systems. Zbl 1407.53089
Bolsinov, Alexey; Matveev, Vladimir S.; Miranda, Eva; Tabachnikov, Serge
8
2018
Zermelo deformation of Finsler metrics by Killing vector fields. Zbl 1402.53019
Foulon, 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 1426.53024
Matveev, Vladimir S.
4
2018
Monochromatic metrics are generalized Berwald. Zbl 1387.53032
Bartelmeß, Nina; Matveev, Vladimir S.
4
2018
On the groups of c-projective transformations of complete Kähler manifolds. Zbl 1414.32023
Matveev, Vladimir S.; Neusser, Katharina
1
2018
Projectively related metrics, Weyl nullity and metric projectively invariant equations. Zbl 1388.58005
Gover, A. Rod; Matveev, Vladimir S.
8
2017
The Myers-Steenrod theorem for Finsler manifolds of low regularity. Zbl 1362.53083
Matveev, Vladimir S.; Troyanov, Marc
3
2017
On the number of nontrivial projective transformations of closed manifolds. Zbl 1388.53016
Matveev, 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 1400.53064
Matveev, 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 1350.37064
Kruglikov, Boris; Matveev, Vladimir S.
10
2016
Submaximally symmetric \(c\)-projective structures. Zbl 1336.32023
Kruglikov, Boris; Matveev, Vladimir; The, Dennis
5
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
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 1357.37002
Bolsinov, Alexey; Morales-Ruiz, Juan J.; Nguyen Tien Zung
2
2016
The degree of mobility of Einstein metrics. Zbl 1330.53090
Matveev, Vladimir S.; Rosemann, Stefan
2
2016
Local normal forms for geodesically equivalent pseudo-Riemannian metrics. Zbl 1320.53024
Bolsinov, Alexey V.; Matveev, Vladimir S.
17
2015
Conification construction for Kähler manifolds and its application in \(c\)-projective geometry. Zbl 1370.53052
Matveev, Vladimir S.; Rosemann, Stefan
7
2015
Isometries of two dimensional Hilbert geometries. Zbl 1362.51005
Matveev, Vladimir S.; Troyanov, Marc
6
2015
Four-dimensional Kähler metrics admitting c-projective vector fields. Zbl 1312.53095
Bolsinov, Alexey V.; Matveev, Vladimir S.; Mettler, Thomas; Rosemann, Stefan
5
2015
Completeness and incompleteness of the Binet-Legendre metric. Zbl 1343.53076
Matveev, Vladimir S.; Troyanov, Marc
2
2015
A counterexample to Belgun-Moroianu conjecture. (Un contre-exemple à la conjecture de Belgun-Moroianu.) Zbl 1316.53038
Matveev, Vladimir S.; Nikolayevsky, Yuri
2
2015
Smoothing 3-dimensional polyhedral spaces. Zbl 1346.53040
Shevchishin, 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 1310.53020
Fedorova, Aleksandra; Matveev, Vladimir S.
9
2014
A criterion for compatibility of conformal and projective structures. Zbl 1298.53021
Matveev, Vladimir S.; Trautman, Andrzej
5
2014
Submaximal metric projective and metric affine structures. Zbl 1295.53012
Kruglikov, Boris; Matveev, Vladimir
4
2014
There exist no 4-dimensional geodesically equivalent metrics with the same stress-energy tensor. Zbl 1284.53069
Kiosak, Volodymyr; Matveev, Vladimir S.
2
2014
Can we make a Finsler metric complete by a trivial projective change? Zbl 1279.53070
Matveev, Vladimir S.
4
2013
Some remarks on Nijenhuis brackets, formality, and Kähler manifolds. Zbl 1283.58001
De Bartolomeis, Paolo; Matveev, Vladimir S.
2
2013
Two remarks on \(PQ^{\epsilon}\)-projectivity of Riemannian metrics. Zbl 1261.53016
Matveev, Vladimir S.; Rosemann, Stefan
1
2013
The Binet-Legendre metric in Finsler geometry. Zbl 1258.53080
Matveev, Vladimir S.; Troyanov, Marc
31
2012
Geodesically equivalent metrics in general relativity. Zbl 1248.83018
Matveev, Vladimir S.
18
2012
Two-dimensional metrics admitting precisely one projective vector field. Zbl 1237.53013
Matveev, Vladimir S.
16
2012
Proof of the Yano-Obata conjecture for \(h\)-projective transformations. Zbl 1277.53073
Matveev, 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 1251.37058
Matveev, Vladimir S.
10
2012
The only Kähler manifold with degree of mobility at least 3 is \((\mathbb CP(n), g_{\text{Fubini-Study}})\). Zbl 1248.53054
Fedorova, A.; Kiosak, V.; Matveev, V. S.; Rosemann, S.
9
2012
On projective equivalence and pointwise projective relation of Randers metrics. Zbl 1253.53018
Matveev, Vladimir S.
5
2012
On the dimension of the group of projective transformations of closed Randers and Riemannian manifolds. Zbl 1247.53087
Matveev, Vladimir S.
1
2012
Two-dimensional superintegrable metrics with one linear and one cubic integral. Zbl 1218.53087
Matveev, Vladimir S.; Shevchishin, Vsevolod V.
17
2011
Splitting and gluing lemmas for geodesically equivalent pseudo-Riemannian metrics. Zbl 1220.53020
Bolsinov, 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 1197.53055
Kiosak, Volodymyr; Matveev, Vladimir S.
22
2010
Gallot-Tanno theorem for closed incomplete pseudo-Riemannian manifolds and applications. Zbl 1204.53057
Matveev, 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 1207.53072
Matveev, Vladimir S.
7
2010
Differential invariants for cubic integrals of geodesic flows on surfaces. Zbl 1202.53081
Matveev, Vladimir S.; Shevchishin, Vsevolod V.
6
2010
On the degree of geodesic mobility for Riemannian metrics. Zbl 1200.53044
Kiosak, V. A.; Matveev, V. S.; Mikeš, J.; Shandra, I. G.
4
2010
Compatibility of Gauß maps with metrics. Zbl 1186.53008
Eschenburg, Jost-Hinrich; Kruglikov, B. S.; Matveev, Vladimir S.; Tribuzy, Renato
1
2010
Complete Einstein metrics are geodesically rigid. Zbl 1170.53025
Kiosak, Volodymyr; Matveev, Vladimir S.
24
2009
Finsler conformal Lichnerowicz-Obata conjecture. Zbl 1179.53075
Matveev, 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 1169.53054
Bolsinov, Alexey V.; Matveev, Vladimir S.; Pucacco, Giuseppe
12
2009
A Fubini theorem for pseudo-Riemannian geodesically equivalent metrics. Zbl 1175.53022
Bolsinov, Alexey V.; Kiosak, Volodymyr; Matveev, Vladimir S.
10
2009
Riemannian metrics having common geodesics with Berwald metrics. Zbl 1199.53160
Matveev, Vladimir S.
9
2009
On “All regular Landsberg metrics are always Berwald” by Z. I. Szabó. Zbl 1187.53021
Matveev, Vladimir S.
7
2009
There are no conformal Einstein rescalings of complete pseudo-Riemannian Einstein metrics. Zbl 1173.53020
Kiosak, Volodymyr; Matveev, Vladimir S.
6
2009
Metric connections in projective differential geometry. Zbl 1144.53027
Eastwood, 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 1144.53025
Bryant, Robert L.; Manno, Gianni; Matveev, Vladimir S.
36
2008
Proof of the projective Lichnerowicz-Obata conjecture. Zbl 1115.53029
Matveev, Vladimir S.
35
2007
Geometric explanation of the Beltrami theorem. Zbl 1095.53023
Matveev, Vladimir S.
15
2006
On the rigidity of magnetic systems with the same magnetic geodesics. Zbl 1079.37019
Burns, Keith; Matveev, Vladimir S.
6
2006
Vanishing of the entropy pseudonorm for certain integrable systems. Zbl 1186.37067
Kruglikov, Boris S.; Matveev, Vladimir S.
5
2006
On projectively equivalent metrics near points of bifurcation. Zbl 1329.53116
Matveev, Vladimir S.
5
2006
Strictly non-proportional geodesically equivalent metrics have \(h_{\mathrm{top}}(g) = 0\). Zbl 1094.53037
Kruglikov, Boris S.; Matveev, Vladimir S.
5
2006
On degree of mobility for complete metrics. Zbl 1131.53013
Matveev, Vladimir S.
4
2006
Lichnerowicz-Obata conjecture in dimension two. Zbl 1113.53025
Matveev, Vladimir S.
17
2005
Beltrami problem, Lichnerowich–Obata conjecture and applications of integrable systems in differentiable geometry. Zbl 1133.53303
Matveev, V. S.
9
2005
The eigenvalues of the Sinyukov mapping for geodesically equivalent metrics are globally ordered. Zbl 1114.53039
Matveev, V. S.
3
2005
Closed manifolds admitting metrics with the same geodesics. Zbl 1136.53315
Matveev, Vladimir S.
2
2005
A new integrable system on the sphere. Zbl 1119.37039
Dullin, Holger R.; Matveev, Vladimir S.
14
2004
The Obata conjecture for dimension 2. (Die Vermutung von Obata für Dimension 2.) Zbl 1076.53052
Matveev, Vladimir S.
8
2004
The Solodovnikov theorem in dimension two. Zbl 1246.53113
Matveev, V. S.
4
2004
Projectively equivalent metrics on the torus. Zbl 1051.37030
Matveev, Vladimir S.
4
2004
Geometrical interpretation of Benenti systems. Zbl 1010.37035
Bolsinov, Alexey V.; Matveev, Vladimir S.
38
2003
Geodesic equivalence via integrability. Zbl 1017.37029
Topalov, Peter; Matveev, Vladimir S.
32
2003
Hyperbolic manifolds are geodesically rigid. Zbl 1039.53046
Matveev, Vladimir S.
21
2003
Three-dimensional manifolds having metrics with the same geodesics. Zbl 1035.53117
Matveev, Vladimir S.
11
2003
Low dimensional manifolds admitting metrics with the same geodesics. Zbl 1076.53051
Matveev, Vladimir S.
2
2002
Three-manifolds admitting metrics with the same geodesics. Zbl 1013.53026
Matveev, Vladimir S.
2
2002
Quantum integrability of Beltrami-Laplace operator as geodesic equivalence. Zbl 0998.53025
Matveev, Vladimir S.; Topalov, Peter J.
19
2001
Integrability in the theory of geodesically equivalent metrics. Zbl 0983.53024
Matveev, Vladimir S.; Topalov, Peter J.
5
2001
Three-dimensional closed hyperbolic manifolds are geodesically rigid. (Geschlossene hyperbolische 3-Mannigfaltigkeiten sind geodätisch starr.) Zbl 1076.53520
Matveev, Vladimir S.
3
2001
Quantum integrability and complete separation of variables for projectively equivalent metrics on the torus. Zbl 1070.53500
Matveev, Vladimir S.
1
2001
Metric with ergodic geodesic flow is completely determined by unparameterized geodesics. Zbl 0979.53032
Matveev, Vladimir S.; Topalov, Petar J.
11
2000
Quantum integrability of the Beltrami-Laplace operator for geodesically equivalent metrics. Zbl 1047.58004
Matveev, V. S.
6
2000
Commuting operators and separation of variables for Laplacians of projectively equivalent metrics. Zbl 1128.58301
Matveev, Vladimir S.
3
2000
Geodesic equivalence of metrics on surfaces, and their integrability. Zbl 1041.37502
Matveev, V. S.; Topalov, P. I.
10
1999
On integrals of the third degree in momenta. Zbl 1012.37036
Dullin, H. R.; Matveev, V. S.; Topalov, P. Ĭ.
3
1999
Algorithmic classification of invariant neighborhoods for points of saddle-saddle type. Zbl 0951.37021
Matveev, V. S.; Oshemkov, A. A.
1
1999
Trajectory equivalence and corresponding integrals. Zbl 0928.37003
Matveev, V. S.; Topalov, P. Ĭ.
36
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.
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 0926.35103
Matveev, V. S.
3
1998
Integrable Hamiltonian systems: Topological structure of saturated neighborhoods of nondegenerate singular points. Zbl 0989.37055
Bolsinov, A. V.; Matveev, V. S.
3
1998
Conjugate points of hyperbolic geodesics of square integrable geodesic flows on closed surfaces. Zbl 0980.53098
Matveev, 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 1031.53061
Matveev, V. S.; Topalov, P.
1
1998
Quadratically integrable geodesic flows on a torus and a Klein bottle. Zbl 0937.37011
Matveev, V. S.
6
1997
Geodesic flows on the Klein bottle, integrable by polynomials in momenta of degree four. Zbl 0921.58049
Matveev, 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 0871.58045
Matveev, V. S.
22
1996
...and 1 more Documents
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
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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. New Series
2 Journal of Lie Theory
2 Electronic Research Announcements of the American Mathematical Society
2 Mediterranean Journal of Mathematics
2 Proceedings of the Steklov Institute of Mathematics
2 Science China. Mathematics
1 Israel Journal of Mathematics
1 Journal of Mathematical Analysis and Applications
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Beiträge zur Algebra und Geometrie
1 Commentarii Mathematici Helvetici
1 Compositio Mathematica
1 Dissertationes Mathematicae
1 Duke Mathematical Journal
1 Glasgow Mathematical Journal
1 Illinois Journal of Mathematics
1 Journal of Differential Geometry
1 Journal of Functional Analysis
1 Journal of Geometry
1 Journal of the Korean Mathematical Society
1 Journal of the Mathematical Society of Japan
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Nachrichten
1 Memoirs of the American Mathematical Society
1 Monatshefte für Mathematik
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Quarterly of Applied Mathematics
1 Tohoku Mathematical Journal. Second Series
1 Note di Matematica
1 Bulletin of the Iranian Mathematical Society
1 Journal of Complexity
1 Revista Matemática Iberoamericana
1 Facta Universitatis. Series Mathematics and Informatics
1 IMRN. International Mathematics Research Notices
1 Geometric and Functional Analysis. GAFA
1 Aequationes Mathematicae
1 Turkish Journal of Mathematics
1 Filomat
1 The New York Journal of Mathematics
1 Sbornik: Mathematics
1 Izvestiya: Mathematics
1 Balkan Journal of Geometry and its Applications (BJGA)
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Journal of the European Mathematical Society (JEMS)
1 Communications in Nonlinear Science and Numerical Simulation
1 Journal of Dynamical and Control Systems
1 Annales Henri Poincaré
1 Qualitative Theory of Dynamical Systems
1 Journal of Nonlinear Mathematical Physics
1 Differential Equations
1 Advances in Geometry
1 Advanced Nonlinear Studies
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Sibirskie Èlektronnye Matematicheskie Izvestiya
...and 12 more Serials

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