Trofimov Valerii Vladimirovich

Publications in Math-Net.Ru

1. Geometric and dynamical invariants of integrable Hamiltonian and dissipative systems
   
   Fundam. Prikl. Mat., 16:4 (2010),  3–229
2. Geometric optimal control in economical systems
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 76 (2002),  263–272
3. Riemannian geometry
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 76 (2002),  5–262
4. Nonlinear economic dynamics
   
   Fundam. Prikl. Mat., 3:2 (1997),  319–349
5. Canonical coordinates on orbits of the coadjoint representation of tensorial extensions of Lie groups
   
   Uspekhi Mat. Nauk, 49:1(295) (1994),  229–230
6. Generalized Maslov classes on the path space of the asymplectic manifold
   
   Trudy Mat. Inst. Steklov., 205 (1994),  172–199
7. The relative symplectic volume on orbits of a co-adjoint representation of simple Lie groups
   
   Uspekhi Mat. Nauk, 48:6(294) (1993),  173–174
8. Connections of absolute parallelism on a symplectic manifold
   
   Uspekhi Mat. Nauk, 48:1(289) (1993),  191–192
9. The space of paths and generalized Maslov classes of Lagrange submanifolds
   
   Uspekhi Mat. Nauk, 47:4(286) (1992),  213–214
10. A flat pseudo-Riemannian structure on the tangent bundle of a flat manifold
    
    Uspekhi Mat. Nauk, 47:3(285) (1992),  177–178
11. Holonomy group and generalized Maslov classes of submanifolds of spaces with an affine connection
    
    Mat. Zametki, 49:2 (1991),  113–123
12. Symplectic connections, the Maslov index and a conjecture of Fomenko
    
    Dokl. Akad. Nauk SSSR, 304:6 (1989),  1302–1305
13. Geometric and algebraic mechanisms for the integrability of Hamiltonian systems on homogeneous spaces and Lie algebras
    
    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 16 (1987),  227–299
14. The geometry of Poisson brackets and methods for integration, in the sense of Liouville, of systems on symmetric spaces
    
    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 29 (1986),  3–108
15. Liouville integrability of Hamiltonian systems on Lie algebras
    
    Uspekhi Mat. Nauk, 39:2(236) (1984),  3–56
16. Symplectic structures on groups of automorphisms of symmetric spaces
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1984, no. 6,  31–33
17. A procedure for constructing $S$-representations
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1984, no. 1,  3–9
18. Dynamical systems on the orbits of linear representations of Lie groups and the complete integrability of certain hydrodynamical systems
    
    Funktsional. Anal. i Prilozhen., 17:1 (1983),  31–39
19. Extensions of Lie algebras and Hamiltonian systems
    
    Izv. Akad. Nauk SSSR Ser. Mat., 47:6 (1983),  1303–1321
20. Completely integrable geodesic flows of left-invariant metrics on Lie groups which are connected with commutative graded algebras with Poincaré duality
    
    Dokl. Akad. Nauk SSSR, 263:4 (1982),  812–816
21. A method of Hamiltonian flow construction on symmetric spaces and the integrability of some hydrodynamic systems
    
    Dokl. Akad. Nauk SSSR, 254:6 (1980),  1349–1353
22. Euler equations on finite-dimensional solvable Lie groups
    
    Izv. Akad. Nauk SSSR Ser. Mat., 44:5 (1980),  1191–1199
23. Finite-dimensional representations of Lie algebras and completely integrable systems
    
    Mat. Sb. (N.S.), 111(153):4 (1980),  610–621
24. Euler equations on Borel subalgebras of semisimple Lie algebras
    
    Izv. Akad. Nauk SSSR Ser. Mat., 43:3 (1979),  714–732
25. Imbeddings of finite groups by regular elements in compact Lie groups
    
    Dokl. Akad. Nauk SSSR, 226:4 (1976),  785–786