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- Title
The topology of the set of singularities for an integrable Hamiltonian system.
- Authors
Oshemkov, A. A.
- Abstract
The article offers a study on the structure of the set of singular points for an integrable Hamiltonian system on a symplectic manifold (M2n, ω). It describes the properties of nondegenerate singularities of integrable Hamiltonian systems and presents a general construction which demonstrates a relationship between the degeneration set of sections of a complex vector bundle and its Chern classes, featuring the application of Gauss-Bonnet formula. Moreover, it introduces a complex structure on the fibers of the tangent bundle TM, Chern class cr to apply the proposed general construction.
- Subjects
MATHEMATICAL singularities; HAMILTONIAN systems; SYMPLECTIC manifolds; GAUSS-Bonnet theorem; CHERN classes; TANGENT bundles; DEGENERATIONS of algebraic surfaces; BIVECTORS; MATHEMATICAL research
- Publication
Doklady Mathematics, 2010, Vol 82, Issue 2, p777
- ISSN
1064-5624
- Publication type
Article
- DOI
10.1134/S106456241005025X