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Matematicheskie Zametki, 1976, Volume 20, Issue 1, Pages 113–120 (Mi mzm7843)  
This article is cited in 1 scientific paper (total in 1 paper)

Estimate of the upper bound on the Gaussian curvature of certain surfaces with boundary

L. I. Vorob'eva

M. V. Lomonosov Moscow State University
Full-text PDF (595 kB) Citations (1)
Abstract: In this article it is shown that if S is a complete, regular (of class $C^4$) surface with geodesic boundary along which the normal curvature does not change sign, then the Gaussian curvature of the surface satisfies the condition: $\sup\limits_SK\ge0$.
Received: 06.11.1974
English version:
Mathematical Notes, 1976, Volume 20, Issue 1, Pages 621–624
DOI: https://doi.org/10.1007/BF01152768
Bibliographic databases:
UDC: 513.7
Language: Russian
Citation: L. I. Vorob'eva, “Estimate of the upper bound on the Gaussian curvature of certain surfaces with boundary”, Mat. Zametki, 20:1 (1976), 113–120; Math. Notes, 20:1 (1976), 621–624
Citation in format AMSBIB
\Bibitem{Vor76}
\by L.~I.~Vorob'eva
\paper Estimate of the upper bound on the Gaussian curvature of certain surfaces with boundary
\jour Mat. Zametki
\yr 1976
\vol 20
\issue 1
\pages 113--120
\mathnet{http://mi.mathnet.ru/mzm7843}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=425857}
\zmath{https://zbmath.org/?q=an:0333.53005}
\transl
\jour Math. Notes
\yr 1976
\vol 20
\issue 1
\pages 621--624
\crossref{https://doi.org/10.1007/BF01152768}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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