Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2020, Number 4, Pages 22–28 (Mi vmumm4337)  
This article is cited in 16 scientific papers (total in 16 papers)

Mathematics

Realization of numeriñal invariant of the Siefert bundle of integrable systems by billiards

V. V. Vedyushkina, V. A. Kibkalo

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (385 kB) Citations (16)
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Abstract: A local case of A. Fomenko conjecture on possibility of realization of a Liouville foliation with arbitrary topological Fomenko–Zieschang invariant (which is a graph with numerical marks) is discussed. In the class of billiard books, a foliation with arbitrary value of one integer mark (that corresponds to Euler class of one Seifert submanifold) was realized.
Key words: Hamiltonian system, integrability, billiard, Liouville foliation, Seifert fibration, Fomenko–Zieschang invariant.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation ÍØ-6399.2018.1
Received: 26.09.2019
English version:
Moscow University Mathematics Bulletin, 2020, Volume 75, Issue 4, Pages 161–168
DOI: https://doi.org/10.3103/S0027132220040075
Bibliographic databases:
Document Type: Article
UDC: 517.938.5
Language: Russian
Citation: V. V. Vedyushkina, V. A. Kibkalo, “Realization of numeriñal invariant of the Siefert bundle of integrable systems by billiards”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, no. 4, 22–28; Moscow University Mathematics Bulletin, 75:4 (2020), 161–168
Citation in format AMSBIB
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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