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Zapiski Nauchnykh Seminarov POMI, 2006, Volume 335, Pages 231–245 (Mi znsl217)  
On classification of the compatible Lie–Poisson brackets on the manifold $e^*(3)$

A. V. Tsiganov

Saint-Petersburg State University
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Abstract: Classification of the compatible ie–Poisson brackets on the manifold $e^*(3)$ is constructed. The corresponding bi-Hamiltonian systems are the classical integrable cases of the Euler–Poisson and Kirvhhof equations describing the motion of a solid body.
Received: 10.05.2006
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 143, Issue 1, Pages 2831–2839
DOI: https://doi.org/10.1007/s10958-007-0168-4
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: A. V. Tsiganov, “On classification of the compatible Lie–Poisson brackets on the manifold $e^*(3)$”, Questions of quantum field theory and statistical physics. Part 19, Zap. Nauchn. Sem. POMI, 335, POMI, St. Petersburg, 2006, 231–245; J. Math. Sci. (N. Y.), 143:1 (2007), 2831–2839
Citation in format AMSBIB
\Bibitem{Tsi06}
\by A.~V.~Tsiganov
\paper On classification of the compatible Lie--Poisson brackets on the manifold~$e^*(3)$
\inbook Questions of quantum field theory and statistical physics. Part~19
\serial Zap. Nauchn. Sem. POMI
\yr 2006
\vol 335
\pages 231--245
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl217}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2269759}
\zmath{https://zbmath.org/?q=an:1133.53056}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 143
\issue 1
\pages 2831--2839
\crossref{https://doi.org/10.1007/s10958-007-0168-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34247385795}
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