Matveev Vladimir Sergeevich

Publications in Math-Net.Ru

1. If a Minkowski billiard is projective, it is the standard billiard
   
   Mat. Sb., 216:5 (2025),  64–82
2. Quantum integrability for the Beltrami–Laplace operators of projectively equivalent metrics of arbitrary signatures
   
   Chebyshevskii Sb., 21:2 (2020),  275–289
3. On the number of nontrivial projective transformations of closed manifolds
   
   Fundam. Prikl. Mat., 20:2 (2015),  125–131
4. On the dimension of the group of projective transformations of closed randers and Riemannian manifolds
   
   SIGMA, 8 (2012), 007, 4 pp.
5. On the Degree of Geodesic Mobility for Riemannian Metrics
   
   Mat. Zametki, 87:4 (2010),  628–629
6. The eigenvalues of the Sinyukov mapping for geodesically equivalent metrics are globally ordered
   
   Mat. Zametki, 77:3 (2005),  412–423
7. Geodesic equivalence of metrics as a particular case of integrability of geodesic flows
   
   TMF, 123:2 (2000),  285–293
8. Dynamical and Topological Methods in Theory of Geodesically Equivalent Metrics
   
   Zap. Nauchn. Sem. POMI, 266 (2000),  155–168
9. On Integrals of the Third Degree in Momenta
   
   Regul. Chaotic Dyn., 4:3 (1999),  35–44
10. Algorithmic classification of invariant neighborhoods of points of saddle-saddle type
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1999, no. 2,  62–65
11. 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
12. Geodesical equivalence and the Liouville integration of the geodesic flows
    
    Regul. Chaotic Dyn., 3:2 (1998),  30–45
13. Two-dimensional Riemannian metrics with integrable geodesic flows. Local and global geometry
    
    Mat. Sb., 189:10 (1998),  5–32
14. 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
15. 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
16. Geodesic Flows on the Klein Bottle, Integrable by Polynomials in Momenta of Degree Four
    
    Regul. Chaotic Dyn., 2:2 (1997),  106–112
17. Jacobi Vector Fields of Integrable Geodesic Flows
    
    Regul. Chaotic Dyn., 2:1 (1997),  103–116
18. Quadratically Integrable Geodesic Flows on the Torus and on the Klein Bottle
    
    Regul. Chaotic Dyn., 2:1 (1997),  96–102
19. 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
20. 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
21. Singularities of momentum maps of integrable Hamiltonian systems with two degrees of freedom
    
    Zap. Nauchn. Sem. POMI, 235 (1996),  54–86