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JOURNALS // Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica // Archive
Bul. Acad. Ştiinţe Repub. Mold. Mat., 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

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.

MSC: 30F30, 53A07, 58F10

Received: 05.09.2002

Language: English



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