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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 2, Pages 314–405 (Mi smj1297)  
This article is cited in 17 scientific papers (total in 17 papers)

The analytic Carathodory conjecture

V. V. Ivanov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (862 kB) Citations (17)
Abstract: The aim of this article is to provide the reader with a real possibility of becoming confident that the index of an isolated umbilic point of an analytic surface is never greater than one. For a surface homeomorphic to a sphere, this means in particular that on the surface there necessarily exist at least two umbilic points as it was conjectured by Caratheodory.
Received: 14.08.2000
English version:
Siberian Mathematical Journal, 2002, Volume 43, Issue 2, Pages 251–322
DOI: https://doi.org/10.1023/A:1014797105633
Bibliographic databases:
UDC: 514.752
Language: Russian
Citation: V. V. Ivanov, “The analytic Carathodory conjecture”, Sibirsk. Mat. Zh., 43:2 (2002), 314–405; Siberian Math. J., 43:2 (2002), 251–322
Citation in format AMSBIB
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\by V.~V.~Ivanov
\paper The analytic Carathodory conjecture
\jour Sibirsk. Mat. Zh.
\yr 2002
\vol 43
\issue 2
\pages 314--405
\mathnet{http://mi.mathnet.ru/smj1297}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1902826}
\zmath{https://zbmath.org/?q=an:1056.53003}
\transl
\jour Siberian Math. J.
\yr 2002
\vol 43
\issue 2
\pages 251--322
\crossref{https://doi.org/10.1023/A:1014797105633}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000175886400006}
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  • https://www.mathnet.ru/eng/smj/v43/i2/p314
    • This publication is cited in the following 17 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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