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Sibirskii Matematicheskii Zhurnal, 1993, Volume 34, Number 4, Pages 197–199 (Mi smj1644)  
This article is cited in 1 scientific paper (total in 2 paper)

A uniqueness theorem for a surface with principal curvatures connected by the relation $(1-k_1d)(1-k_2d)=-1$

V. A. Toponogov
Full-text PDF (1252 kB) Citations (2)
Abstract: The next theorem is proved: let $F$ be an oriented complete analytic surface in three-dimensional Euclidean space with principal curvatures satisfying the following relation: $(1-k_1d)(1-k_2d)=-1$ то $F$. Then $F$ is a direct circular cylinder.
Received: 03.12.1992
English version:
Siberian Mathematical Journal, 1993, Volume 34, Issue 4, Pages 767–769
DOI: https://doi.org/10.1007/BF00975181
Bibliographic databases:
UDC: 513.013
Language: Russian
Citation: V. A. Toponogov, “A uniqueness theorem for a surface with principal curvatures connected by the relation $(1-k_1d)(1-k_2d)=-1$”, Sibirsk. Mat. Zh., 34:4 (1993), 197–199; Siberian Math. J., 34:4 (1993), 767–769
Citation in format AMSBIB
\Bibitem{Top93}
\by V.~A.~Toponogov
\paper A uniqueness theorem for a surface with principal curvatures connected by the relation $(1-k_1d)(1-k_2d)=-1$
\jour Sibirsk. Mat. Zh.
\yr 1993
\vol 34
\issue 4
\pages 197--199
\mathnet{http://mi.mathnet.ru/smj1644}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1248805}
\zmath{https://zbmath.org/?q=an:0818.53006}
\transl
\jour Siberian Math. J.
\yr 1993
\vol 34
\issue 4
\pages 767--769
\crossref{https://doi.org/10.1007/BF00975181}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993MA84100024}
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  • https://www.mathnet.ru/eng/smj/v34/i4/p197
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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