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Mathematics of the USSR-Sbornik, 1972, Volume 18, Issue 2, Pages 285–301
DOI: https://doi.org/10.1070/SM1972v018n02ABEH001770 (Mi sm3232) 		 
This article is cited in 37 scientific papers (total in 37 papers)

Groups of conformal transformations of Riemannian spaces

D. V. Alekseevskii
English version PDF (1208 kB) Citations (37)
References:
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DOI: https://doi.org/10.1070/SM1972v018n02ABEH001770
Abstract: It is proved that if a Riemannian space $(M,g)$ of class $C^\infty$ has a connected group of conformal transformations which leaves no conformally given metric $e^\sigma_g$ invariant, then $(M,g)$ is globally conformal to a sphere $(S^n,g_0)$ or to Euclidean space $(E^n,g_0)$.
Bibliography: 12 titles.
Received: 13.09.1971
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1972, Volume 89(131), Number 2(10), Pages 280–296
Bibliographic databases:
UDC: 513.766
MSC: Primary 57E30; Secondary 53C10, 53A30
Language: English
Original paper language: Russian
Citation: D. V. Alekseevskii, “Groups of conformal transformations of Riemannian spaces”, Mat. Sb. (N.S.), 89(131):2(10) (1972), 280–296; Math. USSR-Sb., 18:2 (1972), 285–301
Citation in format AMSBIB
\Bibitem{Ale72}
\by D.~V.~Alekseevskii
\paper Groups of conformal transformations of Riemannian spaces
\jour Mat. Sb. (N.S.)
\yr 1972
\vol 89(131)
\issue 2(10)
\pages 280--296
\mathnet{http://mi.mathnet.ru/sm3232}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=334077}
\zmath{https://zbmath.org/?q=an:0244.53031}
\transl
\jour Math. USSR-Sb.
\yr 1972
\vol 18
\issue 2
\pages 285--301
\crossref{https://doi.org/10.1070/SM1972v018n02ABEH001770}
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    • This publication is cited in the following 37 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Russian version PDF:275
    English version PDF:11
    References:43
     
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