Exact circular Morse functions, Morse-type inequalities and integrals of Hamiltonian systems
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Publication:913333
DOI10.1007/BF01060557zbMath0699.58024OpenAlexW2026839639MaRDI QIDQ913333
A. T. Fomenko, Vladimir V. Sharko
Publication date: 1989
Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01060557
Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Critical points and critical submanifolds in differential topology (57R70) Morse-Smale systems (37D15)
Related Items (3)
On the number of critical submanifolds of a function on a manifold ⋮ Round handle decompositions of 1-connected 5-manifolds ⋮ Semi-local Liouville equivalence of complex Hamiltonian systems defined by rational Hamiltonian
Cites Work
- Foliated round surgery of codimension-one foliated manifolds
- Morse numbers and minimal Morse functions on nonsimply connected manifolds
- Round handles and non-singular Morse-Smale flows
- Existence of codimension-one foliations
- The periodic structure of non-singular Morse-Smale flows
- Nondegenerate critical manifolds
- Liouville integrability of Hamiltonian systems on Lie algebras
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