Email this article Invariants of four- and three-dimensional singularities of integrable systems
- Authors: Tuzhilin M.A.1
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Affiliations:
- Mechanics and Mathematics Faculty
- Issue: Vol 93, No 2 (2016)
- Pages: 186-189
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/223519
- DOI: https://doi.org/10.1134/S1064562416020198
- ID: 223519
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Abstract
A relationship between invariants of four-dimensional singularities of integrable Hamiltonian systems (with two degrees of freedom) and invariants of two-dimensional foliations on three-dimensional manifolds being the “boundaries” of these four-dimensional singularities is discovered. Nonequivalent singularities which, nevertheless, have equal three-dimensional invariants are found.
About the authors
M. A. Tuzhilin
Mechanics and Mathematics Faculty
Author for correspondence.
Email: mtu1993@mail.ru
Russian Federation, Moscow, 119991
