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Russian Academy of Sciences. Sbornik. Mathematics, 1994, Volume 77, Issue 2, Pages 511–542
DOI: https://doi.org/10.1070/SM1994v077n02ABEH003454
(Mi sm1100)
 

This article is cited in 42 scientific papers (total in 42 papers)

Classification of four-dimensional integrable Hamiltonian systems and Poisson actions of $\mathbb{R}^2$ in extended neighborhoods of simple singular points. I

L. M. Lerman, Ya. L. Umanskii
References:
Abstract: Integrable Hamiltonian systems and Poisson actions of the group $\mathbb{R}^2$ with simple singular points on a smooth ($ C^\infty$ or real-analytic) four-dimensional symplectic manifold $(M,\,\Omega)$ are studied, where $\Omega$ is a symplectic 2-form.
Received: 28.01.1992
Bibliographic databases:
UDC: 514.7
MSC: Primary 58F05, 58F14; Secondary 58F16, 58F21
Language: English
Original paper language: Russian
Citation: L. M. Lerman, Ya. L. Umanskii, “Classification of four-dimensional integrable Hamiltonian systems and Poisson actions of $\mathbb{R}^2$ in extended neighborhoods of simple singular points. I”, Russian Acad. Sci. Sb. Math., 77:2 (1994), 511–542
Citation in format AMSBIB
\Bibitem{LerUma92}
\by L.~M.~Lerman, Ya.~L.~Umanskii
\paper Classification of four-dimensional integrable Hamiltonian systems and Poisson actions of~$\mathbb{R}^2$ in extended neighborhoods of simple singular points.~I
\jour Russian Acad. Sci. Sb. Math.
\yr 1994
\vol 77
\issue 2
\pages 511--542
\mathnet{http://mi.mathnet.ru//eng/sm1100}
\crossref{https://doi.org/10.1070/SM1994v077n02ABEH003454}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1213368}
\zmath{https://zbmath.org/?q=an:0812.58033}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1994SbMat..77..511L}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994NF83500016}
Linking options:
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  • https://doi.org/10.1070/SM1994v077n02ABEH003454
  • https://www.mathnet.ru/eng/sm/v183/i12/p141
  • This publication is cited in the following 42 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:767
    Russian version PDF:226
    English version PDF:32
    References:78
    First page:2
     
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