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Zapiski Nauchnykh Seminarov LOMI, 1976, Volume 66, Pages 103–113 (Mi znsl2021)  

This article is cited in 3 scientific papers (total in 3 papers)

Three-dimensional open Riemannian space of nonnegative curvature

Yu. D. Burago
Full-text PDF (576 kB) Citations (3)
Abstract: Let $V^3$ be a connected three-dimensional open complete Riemannian manifold with nonnegative sectional curvature. It is proved that if at some point all the sectional curvatures are positive, then $V^3$ is diffeomorphic to a Euclidean space $R^3$.
English version:
Journal of Soviet Mathematics, 1979, Volume 12, Issue 1, Pages 65–72
DOI: https://doi.org/10.1007/BF01098416
Bibliographic databases:
UDC: 513.7
Language: Russian
Citation: Yu. D. Burago, “Three-dimensional open Riemannian space of nonnegative curvature”, Investigations in topology. Part II, Zap. Nauchn. Sem. LOMI, 66, "Nauka", Leningrad. Otdel., Leningrad, 1976, 103–113; J. Soviet Math., 12:1 (1979), 65–72
Citation in format AMSBIB
\Bibitem{Bur76}
\by Yu.~D.~Burago
\paper Three-dimensional open Riemannian space of nonnegative curvature
\inbook Investigations in topology. Part~II
\serial Zap. Nauchn. Sem. LOMI
\yr 1976
\vol 66
\pages 103--113
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl2021}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=445426}
\zmath{https://zbmath.org/?q=an:0405.53026|0364.53016}
\transl
\jour J. Soviet Math.
\yr 1979
\vol 12
\issue 1
\pages 65--72
\crossref{https://doi.org/10.1007/BF01098416}
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  • https://www.mathnet.ru/eng/znsl/v66/p103
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Записки научных семинаров ПОМИ
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