Geodesic

New results in the theory of topological classification of integrable systems

Preface
On the topology of an integrable Hamiltonian system in the neighborhood of degenerate one-dimensional trajectory
p. 4-10
Topological classification of an integrable case of Gorychev--Chaplygin type with generalized potential in the dynamics of a~rigid body
p. 11-17
Unsolved problems in the theory of topological classification of integrable systems
p. 18-31
Three types bordisms of integrable systems with two degrees of freedom. Computation of bordism groups
p. 32-72
Topological invariants of integrable geodesic flows on the higher-dimensional torus and sphere
p. 73-90
Topological analysis of some systems of intramolecular dynamics of matter
p. 91-97
On the extension of the symplectic form and a~pair of functions in involution form $S^1\times I\times T^2$
p. 98-108
Existence of a~pair of additional Bott integrals for a~resonance Hamiltonian system with two degrees freedom
p. 109-112
Investigation of a~neighborhood of a~degenerate one-dimensional orbit of the Poisson action of $\mathbb R^2$ in $M^4$
p. 113-130
Morse functions on two-dimensional surfaces. Encoding of singularities
p. 131-140
The topology of the problem of three-point vortices
p. 141-149
The topology of Riemannian manifolds with integrable geodesics flows
p. 150-163
Generalized Maslov classes on the path space of the asymplectic manifold
p. 172-199
A~generalized Poinsot interpretation of the motion of a~multidimensional rigid body
p. 200-206