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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 34 scientific papers (total in 34 papers)

Euler equations on finite-dimensional solvable Lie groups

V. V. Trofimov
English version PDF (440 kB) Citations (34)
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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
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1980, Volume 44, Issue 5, Pages 1191–1199
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”, Izv. Akad. Nauk SSSR Ser. Mat., 44:5 (1980), 1191–1199; Math. USSR-Izv., 17:2 (1981), 405–412
Citation in format AMSBIB
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\paper Euler equations on finite-dimensional solvable Lie groups
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\yr 1980
\vol 44
\issue 5
\pages 1191--1199
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\transl
\jour Math. USSR-Izv.
\yr 1981
\vol 17
\issue 2
\pages 405--412
\crossref{https://doi.org/10.1070/IM1981v017n02ABEH001365}
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  • https://www.mathnet.ru/eng/im/v44/i5/p1191
    • This publication is cited in the following 34 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:380
    Russian version PDF:108
    English version PDF:18
    References:79
    First page:2
     
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