Bolsinov, A. V.; Matveev, V. S. Singularities of momentum maps of integrable Hamiltonian systems with two degrees of freedom. (English. Russian original) Zbl 1114.37304 J. Math. Sci., New York 94, No. 4, 1477-1500 (1999); translation from Zap. Nauchn. Semin. POMI 235, 54-86 (1996). Summary: The goal of the present paper is to describe the topological structure of integrable Hamiltonian systems in saturated neighborhoods of singular points of the momentum mapping. Cited in 4 Documents MSC: 37J35 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests 37J15 Symmetries, invariants, invariant manifolds, momentum maps, reduction (MSC2010) 53D20 Momentum maps; symplectic reduction 70G40 Topological and differential topological methods for problems in mechanics 70H33 Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics Keywords:symplectic manifold; Liouville foliation; topological structure; singular points Citations:Zbl 0924.00015 × Cite Format Result Cite Review PDF Full Text: DOI EuDML References: [1] V. I. Arnold,Mathematical Methods in Classical Mechanics, Springer-Verlag (1978). · Zbl 0386.70001 [2] S. Smale, ”Topology and mechanics,”Invent. Math.,10, No. 6, 305–331 (1970). · Zbl 0202.23201 · doi:10.1007/BF01418778 [3] L. M. Lerman and Ya. L. 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