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Sibirskii Matematicheskii Zhurnal, 2001, Volume 42, Number 5, Pages 998–1011 (Mi smj1421)  
This article is cited in 4 scientific papers (total in 4 papers)

Estimation of the length of a simple geodesic on a convex surface

V. A. Vaiganta, O. Yu. Matukevichb

a Universität Münster
b Altai State University
Full-text PDF (237 kB) Citations (4)
Abstract: It was proved by I. M. Liberman that for a $C^2$-smooth closed surface $M$ of positive Gaussian curvature there exists a number $l$ such that any geodesic arc on $M$ of length at least $l$ is not simple. In this article we indicate a lower bound for $l$. We exhibit an example showing that our estimate is unimprovable.
Received: 27.06.2000
Revised: 12.02.2001
English version:
Siberian Mathematical Journal, 2001, Volume 42, Issue 5, Pages 833–845
DOI: https://doi.org/10.1023/A:1011951207751
Bibliographic databases:
UDC: 514
Language: Russian
Citation: V. A. Vaigant, O. Yu. Matukevich, “Estimation of the length of a simple geodesic on a convex surface”, Sibirsk. Mat. Zh., 42:5 (2001), 998–1011; Siberian Math. J., 42:5 (2001), 833–845
Citation in format AMSBIB
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\by V.~A.~Vaigant, O.~Yu.~Matukevich
\paper Estimation of the length of a simple geodesic on a convex surface
\jour Sibirsk. Mat. Zh.
\yr 2001
\vol 42
\issue 5
\pages 998--1011
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1861629}
\zmath{https://zbmath.org/?q=an:0998.53026}
\transl
\jour Siberian Math. J.
\yr 2001
\vol 42
\issue 5
\pages 833--845
\crossref{https://doi.org/10.1023/A:1011951207751}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000172156900003}
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  • https://www.mathnet.ru/eng/smj/v42/i5/p998
    • This publication is cited in the following 4 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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