Singularities of momentum maps of integrable Hamiltonian systems with two degrees of freedom.

DOI10.1007/BF02365198zbMath1114.37304MaRDI QIDQ1303351

Vladimir S. Matveev, Alexei V. Bolsinov

Publication date: 29 September 1999

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/68775

zbMATH Keywords

singular pointssymplectic manifoldtopological structureLiouville foliation

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Momentum maps; symplectic reduction (53D20) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Topological and differential topological methods for problems in mechanics (70G40)

Related Items

Integrable systems and group actions, Open problems, questions and challenges in finite- dimensional integrable systems, Singular reduction of the 2-body problem on the 3-sphere and the 4-dimensional spinning top

Cites Work

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