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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 50 scientific papers (total in 50 papers)

Homogeneous Riemannian spaces of negative curvature

D. V. Alekseevskii
English version PDF (1548 kB) Citations (50) Russian version article
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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
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”, 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 Math. USSR-Sb.
\yr 1975
\vol 25
\issue 1
\pages 87--109
\mathnet{http://mi.mathnet.ru//eng/sm3095}
\crossref{https://doi.org/10.1070/SM1975v025n01ABEH002200}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=362145}
\zmath{https://zbmath.org/?q=an:0309.53037}
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  • https://www.mathnet.ru/eng/sm/v138/i1/p93
    • This publication is cited in the following 50 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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