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Mathematics of the USSR-Izvestiya, 1987, Volume 29, Issue 1, Pages 19–31
DOI: https://doi.org/10.1070/IM1987v029n01ABEH000957 (Mi im1525) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Construction of completely integrable geodesic flows on compact symmetric spaces

A. V. Brailov
English version PDF (728 kB) Citations (6)
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DOI: https://doi.org/10.1070/IM1987v029n01ABEH000957
Abstract: On every compact symmetric space, Riemannian metrics are constructed for which the geodesic flow is completely integrable in the sense of Liouville. Some of the metrics constructed in the case of a sphere are conformally equivalent to metrics on $n$-axial ellipsoids.
Bibliography: 22 titles.
Received: 13.06.1983
Revised: 15.11.1985
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1986, Volume 50, Issue 4, Pages 661–674
Bibliographic databases:
UDC: 514.774.8
MSC: Primary 58F07; Secondary 58F17, 34C35, 53C35
Language: English
Original paper language: Russian
Citation: A. V. Brailov, “Construction of completely integrable geodesic flows on compact symmetric spaces”, Izv. Akad. Nauk SSSR Ser. Mat., 50:4 (1986), 661–674; Math. USSR-Izv., 29:1 (1987), 19–31
Citation in format AMSBIB
\Bibitem{Bra86}
\by A.~V.~Brailov
\paper Construction of completely integrable geodesic flows on compact symmetric spaces
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1986
\vol 50
\issue 4
\pages 661--674
\mathnet{http://mi.mathnet.ru/im1525}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=864170}
\zmath{https://zbmath.org/?q=an:0638.58011}
\transl
\jour Math. USSR-Izv.
\yr 1987
\vol 29
\issue 1
\pages 19--31
\crossref{https://doi.org/10.1070/IM1987v029n01ABEH000957}
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  • https://www.mathnet.ru/eng/im/v50/i4/p661
    • This publication is cited in the following 6 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
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    Abstract page:438
    Russian version PDF:118
    English version PDF:23
    References:47
    First page:2
     
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