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Matveev, Vladimir Sergeevich
Professor
Candidate of physico-mathematical sciences (1996)
Speciality: 01.01.04 (Geometry and topology)
Birth date: 25.04.1971
E-mail: ,
Website: http://users.minet.uni-jena.de/~matveev/
Keywords: integrable systems.
UDC: 513.83, 514.7, 519.946

Subject:

Differential geometry.
   
Main publications:
  1. Vladimir S. Matveev, “Proof of the projective Lichnerowicz–Obata conjecture”, J. Differential Geom., 75 (2007), 459–502  mathscinet  zmath

https://www.mathnet.ru/eng/person8426
List of publications on Google Scholar
https://zbmath.org/authors/ai:matveev.vladimir-s
https://mathscinet.ams.org/mathscinet/MRAuthorID/609466
ISTINA https://istina.msu.ru/workers/1617196
https://orcid.org/0000-0002-2237-1422

Full list of publications: http://www.minet.uni-jena.de/~matveev/Forschung/publications.html

Publications in Math-Net.Ru Citations
2025
1. Vladimir S. Matveev, “Real Analyticity of 2-Dimensional Superintegrable Metrics and Solution of Two Bolsinov – Kozlov – Fomenko Conjectures”, Regul. Chaotic Dyn., 30:4 (2025),  677–687  mathnet
2. A. A. Glutsyuk, V. S. Matveev, “If a Minkowski billiard is projective, then it is the standard billiard”, Mat. Sb., 216:5 (2025),  64–82  mathnet  mathscinet; Sb. Math., 216:5 (2025), 638–653  isi  scopus
3. Vladimir S. Matveev, “On the existence of geodesic vector fields on closed surfaces”, Theor. Appl. Mech., 52:1 (2025),  109–113  mathnet
2020
4. V. S. Matveev, “Quantum integrability for the Beltrami–Laplace operators of projectively equivalent metrics of arbitrary signatures”, Chebyshevskii Sb., 21:2 (2020),  275–289  mathnet 1
2015
5. V. S. Matveev, “On the number of nontrivial projective transformations of closed manifolds”, Fundam. Prikl. Mat., 20:2 (2015),  125–131  mathnet  mathscinet  elib; J. Math. Sci., 223:6 (2017), 734–738 4
2012
6. Vladimir S. Matveev, “On the dimension of the group of projective transformations of closed randers and Riemannian manifolds”, SIGMA, 8 (2012), 007, 4 pp.  mathnet  mathscinet  isi  scopus 1
2010
7. V. A. Kiosak, V. S. Matveev, J. Mikesh, I. G. Shandra, “On the Degree of Geodesic Mobility for Riemannian Metrics”, Mat. Zametki, 87:4 (2010),  628–629  mathnet  mathscinet  zmath; Math. Notes, 87:4 (2010), 586–587  isi  scopus 23
2005
8. V. S. Matveev, “The eigenvalues of the Sinyukov mapping for geodesically equivalent metrics are globally ordered”, Mat. Zametki, 77:3 (2005),  412–423  mathnet  mathscinet  zmath  elib; Math. Notes, 77:3 (2005), 380–390  isi  scopus 7
2000
9. V. S. Matveev, P. J. Topalov, “Geodesic equivalence of metrics as a particular case of integrability of geodesic flows”, TMF, 123:2 (2000),  285–293  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 123:2 (2000), 651–658  isi 5
10. V. S. Matveev, P. J. Topalov, “Dynamical and Topological Methods in Theory of Geodesically Equivalent Metrics”, Zap. Nauchn. Sem. POMI, 266 (2000),  155–168  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 113:4 (2003), 629–636 3
1999
11. H. R. Dullin, V. S. Matveev, P. Ĭ. Topalov, “On Integrals of the Third Degree in Momenta”, Regul. Chaotic Dyn., 4:3 (1999),  35–44  mathnet  mathscinet  zmath 6
12. V. S. Matveev, A. A. Oshemkov, “Algorithmic classification of invariant neighborhoods of points of saddle-saddle type”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1999, no. 2,  62–65  mathnet  mathscinet  zmath 2
1998
13. V. S. Matveev, “The asymptotic eigenfunctions of the operator $\nabla D(x,y)\nabla$ corresponding to Liouville metrics and waves on water captured by bottom irregularities”, Mat. Zametki, 64:3 (1998),  414–422  mathnet  mathscinet  zmath; Math. Notes, 64:3 (1998), 357–363  isi 12
14. V. S. Matveev, P. Ĭ. Topalov, “Geodesical equivalence and the Liouville integration of the geodesic flows”, Regul. Chaotic Dyn., 3:2 (1998),  30–45  mathnet  mathscinet  zmath 58
15. A. V. Bolsinov, V. S. Matveev, A. T. Fomenko, “Two-dimensional Riemannian metrics with integrable geodesic flows. Local and global geometry”, Mat. Sb., 189:10 (1998),  5–32  mathnet  mathscinet  zmath; Sb. Math., 189:10 (1998), 1441–1466  isi  scopus 67
16. V. S. Matveev, P. Topalov, “A metric on a sphere that is geodesically equivalent to itself a metric of constant curvature is a metric of constant curvature”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1998, no. 5,  53–55  mathnet  mathscinet  zmath
17. V. S. Matveev, P. Topalov, “Conjugate points of hyperbolic geodesics of square integrable geodesic flows on closed surfaces”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1998, no. 1,  60–62  mathnet  zmath
1997
18. V. S. Matveev, “Geodesic Flows on the Klein Bottle, Integrable by Polynomials in Momenta of Degree Four”, Regul. Chaotic Dyn., 2:2 (1997),  106–112  mathnet  mathscinet  zmath 1
19. V. S. Matveev, P. J. Topalov, “Jacobi Vector Fields of Integrable Geodesic Flows”, Regul. Chaotic Dyn., 2:1 (1997),  103–116  mathnet  mathscinet  zmath
20. V. S. Matveev, “Quadratically Integrable Geodesic Flows on the Torus and on the Klein Bottle”, Regul. Chaotic Dyn., 2:1 (1997),  96–102  mathnet  mathscinet  zmath 3
21. V. S. Matveev, “An example of a geodesic flow on the Klein bottle, integrable by a polynomial in the momentum of the fourth degree”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1997, no. 4,  47–48  mathnet  mathscinet  zmath 2
1996
22. V. S. Matveev, “Integrable Hamiltonian system with two degrees of freedom. The topological structure of saturated neighbourhoods of points of focus-focus and saddle-saddle type”, Mat. Sb., 187:4 (1996),  29–58  mathnet  mathscinet  zmath; Sb. Math., 187:4 (1996), 495–524  isi  scopus 59
23. A. V. Bolsinov, V. S. Matveev, “Singularities of momentum maps of integrable Hamiltonian systems with two degrees of freedom”, Zap. Nauchn. Sem. POMI, 235 (1996),  54–86  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 94:4 (1999), 1477–1500 4

Presentations in Math-Net.Ru
1. Обобщая Б. Римана 1886: существование плоских координат для произвольной билинейной формы
V. S. Matveev
Differential geometry and applications
May 19, 2025 16:45
2. Геометрия Нийенхейса: особенности и глобальные аспекты
V. S. Matveev
Modern geometry methods
September 23, 2020 18:30

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