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IMCS/Publications/BASM/Issues/BASM n.1 (41), 2003/

CMC-surfaces, phi-geodesics and the Caratheodory conjecture. (English)

Authors: Igor Nikolaev.

Abstract

A short proof of the Caratheodory conjecture about index of an isolated umbilic on the convex 2-dimensional sphere is suggested.

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