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. 
@article{BASM_2003_1_a8,
     author = {I. V. Nikolaev},
     title = {CMC--surfaces, $\varphi$--geodesics and the {Carath\'eodory} conjecture},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {83--90},
     publisher = {mathdoc},
     number = {1},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASM_2003_1_a8/}
}
TY  - JOUR
AU  - I. V. Nikolaev
TI  - CMC--surfaces, $\varphi$--geodesics and the Carath\'eodory conjecture
JO  - Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
PY  - 2003
SP  - 83
EP  - 90
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/BASM_2003_1_a8/
LA  - en
ID  - BASM_2003_1_a8
ER  - 
%0 Journal Article
%A I. V. Nikolaev
%T CMC--surfaces, $\varphi$--geodesics and the Carath\'eodory conjecture
%J Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
%D 2003
%P 83-90
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/BASM_2003_1_a8/
%G en
%F BASM_2003_1_a8
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/