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Matematicheskie Zametki, 1997, Volume 61, Issue 2, Pages 179–200
DOI: https://doi.org/10.4213/mzm1493
(Mi mzm1493)
 

This article is cited in 5 scientific papers (total in 5 papers)

Exact smooth classification of hamiltonian vector fields on two-dimensional manifolds

B. S. Kruglikov

M. V. Lomonosov Moscow State University
References:
Abstract: A complete exact classification of Hamiltonian systems with Morse Hamiltonians on two-dimensional manifolds is given, i.e., the systems are classified up to diffeomorphisms mapping vector fields into vector fields. The classification imposes no restrictions on Morse functions.
Received: 17.11.1994
Revised: 23.11.1995
English version:
Mathematical Notes, 1997, Volume 61, Issue 2, Pages 146–163
DOI: https://doi.org/10.1007/BF02355725
Bibliographic databases:
UDC: 517.938.5
Language: Russian
Citation: B. S. Kruglikov, “Exact smooth classification of hamiltonian vector fields on two-dimensional manifolds”, Mat. Zametki, 61:2 (1997), 179–200; Math. Notes, 61:2 (1997), 146–163
Citation in format AMSBIB
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\by B.~S.~Kruglikov
\paper Exact smooth classification of hamiltonian vector fields on two-dimensional manifolds
\jour Mat. Zametki
\yr 1997
\vol 61
\issue 2
\pages 179--200
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\crossref{https://doi.org/10.4213/mzm1493}
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\zmath{https://zbmath.org/?q=an:0919.58027}
\transl
\jour Math. Notes
\yr 1997
\vol 61
\issue 2
\pages 146--163
\crossref{https://doi.org/10.1007/BF02355725}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1997XM39800018}
Linking options:
  • https://www.mathnet.ru/eng/mzm1493
  • https://doi.org/10.4213/mzm1493
  • https://www.mathnet.ru/eng/mzm/v61/i2/p179
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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    Abstract page:357
    Full-text PDF :163
    References:31
    First page:2
     
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