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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) Russian version article
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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
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”, 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 Math. USSR-Izv.
\yr 1987
\vol 29
\issue 1
\pages 19--31
\mathnet{http://mi.mathnet.ru//eng/im1525}
\crossref{https://doi.org/10.1070/IM1987v029n01ABEH000957}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=864170}
\zmath{https://zbmath.org/?q=an:0638.58011}
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    • 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:448
    Russian version PDF:120
    English version PDF:28
    References:48
    First page:2
     
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