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Matematicheskie Zametki, 1973, Volume 13, Issue 6, Pages 881–887 (Mi mzm7192)  

This article is cited in 4 scientific papers (total in 5 papers)

On three-dimensional Riemannian spaces with curvature bounded above

Yu. D. Buragoa, V. A. Toponogovb

a Leningrad Branch, V. A. Steklov Mathematical Institute, Academy of Sciences of the USSR
b Mathematical Institute, Siberian Branch, Academy of Sciences of the USSR
Full-text PDF (477 kB) Citations (5)
Abstract: For three-dimensional closed simply-connected Riemannian spaces one gets a lower bound for the radius of injectivity of the exponential map from a lower bound of the sectional and an upper bound of the Ricci curvatures.
Received: 07.06.1972
English version:
Mathematical Notes, 1973, Volume 13, Issue 6, Pages 526–530
DOI: https://doi.org/10.1007/BF01163962
Bibliographic databases:
UDC: 513
Language: Russian
Citation: Yu. D. Burago, V. A. Toponogov, “On three-dimensional Riemannian spaces with curvature bounded above”, Mat. Zametki, 13:6 (1973), 881–887; Math. Notes, 13:6 (1973), 526–530
Citation in format AMSBIB
\Bibitem{BurTop73}
\by Yu.~D.~Burago, V.~A.~Toponogov
\paper On three-dimensional Riemannian spaces with curvature bounded above
\jour Mat. Zametki
\yr 1973
\vol 13
\issue 6
\pages 881--887
\mathnet{http://mi.mathnet.ru/mzm7192}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=346699}
\zmath{https://zbmath.org/?q=an:0277.53025|0277.53024}
\transl
\jour Math. Notes
\yr 1973
\vol 13
\issue 6
\pages 526--530
\crossref{https://doi.org/10.1007/BF01163962}
Linking options:
  • https://www.mathnet.ru/eng/mzm7192
  • https://www.mathnet.ru/eng/mzm/v13/i6/p881
  • This publication is cited in the following 5 articles:
    1. Misha Gromov, “Dirac and Plateau billiards in domains with corners”, Open Mathematics, 12:8 (2014)  crossref
    2. V. A. Aleksandrov, A. A. Borisenko, Yu. F. Borisov, Yu. D. Burago, V. V. Vershinin, E. P. Volokitin, L. I. Kononenko, S. S. Kutateladze, Yu. G. Reshetnyak, E. D. Rodionov, A. S. Romanov, S. A. Treskov, V. A. Sharafutdinov, “Viktor Andreevich Toponogov (obituary)”, Russian Math. Surveys, 61:2 (2006), 341–345  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    3. Xiaochun Rong, “Collapsed manifolds with pinched positive sectional curvature”, J. Differential Geom., 51:2 (1999)  crossref
    4. C. Bavard, “Le rayon d'injectivité des surfaces à courbure majorée”, J. Differential Geom., 20:1 (1984)  crossref
    5. Yu. D. Burago, V. A. Zalgaller, “Convex sets in Riemannian spaces of non-negative curvature”, Russian Math. Surveys, 32:3 (1977), 1–57  mathnet  crossref  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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