Proceedings of the 9th Seminar on Geometry and Topology

Description

1......Page 0 2......Page 2 3......Page 14 4......Page 15 5......Page 16 6......Page 17 7......Page 18 8......Page 19 9......Page 20 Introduction......Page 21 Integrable Hamiltonian systems on Lie bialgebra of bi-symplectic type......Page 22 Example......Page 23 Introduction......Page 26 Definitions and notations......Page 27 On bi-hamiltonian structure of some integrable and superintegrable systems......Page 28 Introduction......Page 32 Model and preliminaries......Page 33 geometric approach to analysis of an model......Page 34 Introduction......Page 38 Chain of subalgebras method......Page 40 Proof of the Mishchenko -Fomenko conjecture on non-semisimple Lie algebra......Page 41 Introduction......Page 44 Similarity reduction of equation (1)......Page 45 Maurer-Cartan forms for the pseudo-group of local diffeomorphiresms......Page 47 Conservation laws for equation (1)......Page 48 Preliminaries......Page 50 Main Theorem......Page 51 Lie algebroids......Page 55 Killing section......Page 56 Introduction......Page 60 Existence and uniqueness of the case m>0......Page 61 Existence of the case m