Geodesic
CMC--surfaces, $\varphi$--geodesics and the Carath\'eodory conjecture
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2003), pp. 83-90.

Voir la notice de l'article provenant de la source Math-Net.Ru

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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I. V. Nikolaev. CMC--surfaces, $\varphi$--geodesics and the Carath\'eodory conjecture. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2003), pp. 83-90. http://geodesic.mathdoc.fr/item/BASM_2003_1_a8/

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