Trudy Mat. Inst. Steklov., 1994, Volume 205

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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

1994, Volume 205

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General information

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Contents

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New results in the theory of topological classification of integrable systems

	Preface A. T. Fomenko		3
	On the topology of an integrable Hamiltonian system in the neighborhood of degenerate one-dimensional trajectory S. S. Anisov		4
	Topological classification of an integrable case of Gorychev–Chaplygin type with generalized potential in the dynamics of a rigid body E. V. Anoshkina		11
	Unsolved problems in the theory of topological classification of integrable systems A. V. Bolsinov, A. T. Fomenko		18
	Three types bordisms of integrable systems with two degrees of freedom. Computation of bordism groups A. V. Bolsinov, A. T. Fomenko, X. Zhang		32
	Topological invariants of integrable geodesic flows on the higher-dimensional torus and sphere Nguyen Tien Zung		73
	Topological analysis of some systems of intramolecular dynamics of matter V. V. Kalashnikov		91
	On the extension of the symplectic form and a pair of functions in involution form $S^1\times I\times T^2$ B. S. Kruglikov		98
	Existence of a pair of additional Bott integrals for a resonance Hamiltonian system with two degrees freedom B. S. Kruglikov		109
	Investigation of a neighborhood of a degenerate one-dimensional orbit of the Poisson action of $\mathbb R^2$ in $M^4$ O. E. Orel		113
	Morse functions on two-dimensional surfaces. Encoding of singularities A. A. Oshemkov		131
	The topology of the problem of three-point vortices E. N. Selivanova		141
	The topology of Riemannian manifolds with integrable geodesics flows I. A. Taimanov		150
	Homological properties of labels of the Fomenko–Zieschang invariant P. I. Topalov		164
	Generalized Maslov classes on the path space of the asymplectic manifold V. V. Trofimov		172
	A generalized Poinsot interpretation of the motion of a multidimensional rigid body Yu. N. Fedorov		200

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