Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2003, Number 1, Pages 83–90 (Mi basm190)  
Research articles

CMC–surfaces, $\varphi$–geodesics and the Carathéodory conjecture

I. V. Nikolaev

Department of Mathematics, University of Calgary, Calgary, Canada
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Abstract: A short proof of the Caratheodory conjecture about index of an isolated umbilic on the convex 2–dimensional sphere is suggested.
Keywords and phrases: quadratic differential, $\varphi$–metric, umbilical point.
Received: 05.09.2002
Bibliographic databases:
Document Type: Article
MSC: 30F30, 53A07, 58F10
Language: English
Citation: I. V. Nikolaev, “CMC–surfaces, $\varphi$–geodesics and the Carathéodory conjecture”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2003, no. 1, 83–90
Citation in format AMSBIB
\Bibitem{Nik03}
\by I.~V.~Nikolaev
\paper CMC--surfaces, $\varphi$--geodesics and the Carath\'eodory conjecture
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2003
\issue 1
\pages 83--90
\mathnet{http://mi.mathnet.ru/basm190}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1992653}
\zmath{https://zbmath.org/?q=an:1058.53007}
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