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Mathematics of the USSR-Izvestiya, 1981, Volume 17, Issue 2, Pages 405–412
DOI: https://doi.org/10.1070/IM1981v017n02ABEH001365 (Mi im1958) 		 
This article is cited in 38 scientific papers (total in 38 papers)

Euler equations on finite-dimensional solvable Lie groups

V. V. Trofimov
English version PDF (440 kB) Citations (38) Russian version article
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DOI: https://doi.org/10.1070/IM1981v017n02ABEH001365
Abstract: In this paper a construction of “rigid body” operators on Borel subalgebras is given. Complete integrability of Euler equations with such operators is proved. In addition, using a noncommutative method of integrating Hamiltonian systems, complete integrability of an “unconstrained rigid body” on the cotangent bundle of a Borel subgroup is proved.
Bibliography: 10 titles.
Received: 14.09.1979
Bibliographic databases:
UDC: 513.944
MSC: Primary 58F07; Secondary 58F05, 70H05, 22E25
Language: English
Original paper language: Russian
Citation: V. V. Trofimov, “Euler equations on finite-dimensional solvable Lie groups”, Math. USSR-Izv., 17:2 (1981), 405–412
Citation in format AMSBIB
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\by V.~V.~Trofimov
\paper Euler equations on finite-dimensional solvable Lie groups
\jour Math. USSR-Izv.
\yr 1981
\vol 17
\issue 2
\pages 405--412
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\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=595263}
\zmath{https://zbmath.org/?q=an:0468.22006|0451.22008}
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    • This publication is cited in the following 38 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:524
    Russian version PDF:131
    English version PDF:77
    References:105
    First page:2
     
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