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Mathematics of the USSR-Sbornik, 1975, Volume 25, Issue 1, Pages 87–109
DOI: https://doi.org/10.1070/SM1975v025n01ABEH002200 (Mi sm3095) 		 
This article is cited in 49 scientific papers (total in 49 papers)

Homogeneous Riemannian spaces of negative curvature

D. V. Alekseevskii
English version PDF (1548 kB) Citations (49)
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DOI: https://doi.org/10.1070/SM1975v025n01ABEH002200
Abstract: In this paper the structure of simply-transitive isometry groups of a Riemannian space with nonpositive curvature is studied. The results obtained are then applied to classify Riemannian spaces of negative curvature possessing a metabelian transitive isometry group and also to classify homogeneous Einstein spaces with nonpositive curvature and with dimension $m\leqslant5$.
Bibliography: 13 titles.
Received: 10.04.1974
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1975, Volume 96(138), Number 1, Pages 93–117
Bibliographic databases:
UDC: 519.46
MSC: Primary 53C30, 22E20; Secondary 53C25, 22E25, 22E60
Language: English
Original paper language: Russian
Citation: D. V. Alekseevskii, “Homogeneous Riemannian spaces of negative curvature”, Mat. Sb. (N.S.), 96(138):1 (1975), 93–117; Math. USSR-Sb., 25:1 (1975), 87–109
Citation in format AMSBIB
\Bibitem{Ale75}
\by D.~V.~Alekseevskii
\paper Homogeneous Riemannian spaces of negative curvature
\jour Mat. Sb. (N.S.)
\yr 1975
\vol 96(138)
\issue 1
\pages 93--117
\mathnet{http://mi.mathnet.ru/sm3095}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=362145}
\zmath{https://zbmath.org/?q=an:0309.53037}
\transl
\jour Math. USSR-Sb.
\yr 1975
\vol 25
\issue 1
\pages 87--109
\crossref{https://doi.org/10.1070/SM1975v025n01ABEH002200}
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    • This publication is cited in the following 49 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:659
    Russian version PDF:270
    English version PDF:40
    References:55
    First page:1
     
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