Nous montrons qu’une surface minimale complété, plongée dans , de courbure totale finie et homéomorphe a moins deux points est l’hélicoïde.
We show that a complete minimal surface embedded in with finite total curvature which is homeomorphic to minus two points is the “hélicoïde”’.
@article{AIF_1988__38_4_121_0,
author = {Toubiana, Eric},
title = {Un th\'eor\`eme d'unicit\'e de l'h\'elico\"\i de},
journal = {Annales de l'Institut Fourier},
volume = {38},
year = {1988},
pages = {121-132},
doi = {10.5802/aif.1151},
mrnumber = {90a:53015},
zbl = {0645.53032},
language = {fr},
url = {http://dml.mathdoc.fr/item/AIF_1988__38_4_121_0}
}
Toubiana, Eric. Un théorème d'unicité de l'hélicoïde. Annales de l'Institut Fourier, Tome 38 (1988) pp. 121-132. doi : 10.5802/aif.1151. http://gdmltest.u-ga.fr/item/AIF_1988__38_4_121_0/
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