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Zapiski Nauchnykh Seminarov POMI, 2002, Volume 291, Pages 263–277 (Mi znsl1662)  
This article is cited in 1 scientific paper (total in 1 paper)

A family of integrable systems on a sphere

A. V. Tsiganov

Saint-Petersburg State University
Full-text PDF (219 kB) Citations (1)
Abstract: We discuss some construction of non-canonical transformations connecting different integrable systems on the Poisson manifold. All the considered maps consist of canonical transformations of symplectic leaves and parallel translations induced by diffeomorphisms in the base of symplectic foliation.
Received: 08.10.2002
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 125, Issue 2, Pages 249–257
DOI: https://doi.org/10.1023/B:JOTH.0000049577.57859.12
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: A. V. Tsiganov, “A family of integrable systems on a sphere”, Questions of quantum field theory and statistical physics. Part 17, Zap. Nauchn. Sem. POMI, 291, POMI, St. Petersburg, 2002, 263–277; J. Math. Sci. (N. Y.), 125:2 (2005), 249–257
Citation in format AMSBIB
\Bibitem{Tsi02}
\by A.~V.~Tsiganov
\paper A family of integrable systems on a sphere
\inbook Questions of quantum field theory and statistical physics. Part~17
\serial Zap. Nauchn. Sem. POMI
\yr 2002
\vol 291
\pages 263--277
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1662}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1948821}
\zmath{https://zbmath.org/?q=an:1130.37029}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 125
\issue 2
\pages 249--257
\crossref{https://doi.org/10.1023/B:JOTH.0000049577.57859.12}
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  • https://www.mathnet.ru/eng/znsl/v291/p263
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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