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Mathematics of the USSR-Izvestiya, 1984, Volume 23, Issue 3, Pages 511–523
DOI: https://doi.org/10.1070/IM1984v023n03ABEH001783
(Mi im1462)
 

This article is cited in 7 scientific papers (total in 7 papers)

Homogeneous spaces with integrable $G$-invariant Hamiltonian flows

I. V. Mykytyuk
References:
Abstract: Examples are constructed of homogeneous spaces $M$ with semisimple groups of motions $G$ for which all $G$-invariant Hamiltonian systems on $T^*M$ are integrable. Particular examples of such include affine symmetric spaces.
Bibliography: 11 titles.
Received: 05.10.1982
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1983, Volume 47, Issue 6, Pages 1248–1262
Bibliographic databases:
UDC: 519.46
MSC: Primary 58F07; Secondary 58F05, 70H99, 34C35, 22E60
Language: English
Original paper language: Russian
Citation: I. V. Mykytyuk, “Homogeneous spaces with integrable $G$-invariant Hamiltonian flows”, Izv. Akad. Nauk SSSR Ser. Mat., 47:6 (1983), 1248–1262; Math. USSR-Izv., 23:3 (1984), 511–523
Citation in format AMSBIB
\Bibitem{Myk83}
\by I.~V.~Mykytyuk
\paper Homogeneous spaces with integrable $G$-invariant Hamiltonian flows
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1983
\vol 47
\issue 6
\pages 1248--1262
\mathnet{http://mi.mathnet.ru/im1462}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=727754}
\zmath{https://zbmath.org/?q=an:0554.58030|0539.58016}
\transl
\jour Math. USSR-Izv.
\yr 1984
\vol 23
\issue 3
\pages 511--523
\crossref{https://doi.org/10.1070/IM1984v023n03ABEH001783}
Linking options:
  • https://www.mathnet.ru/eng/im1462
  • https://doi.org/10.1070/IM1984v023n03ABEH001783
  • https://www.mathnet.ru/eng/im/v47/i6/p1248
  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:375
    Russian version PDF:104
    English version PDF:16
    References:68
    First page:2
     
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