We show that there exists a complete minimal surface immersed into which is conformally equivalent to a compact hyperelliptic Riemann surface of genus three minus one point. The end of the surface is of Enneper type and its total curvature is .
Nous montrons l’existence d’une surface minimale complète dans l’espace , conformément équivalente à une surface de Riemann hyperelliptique compacte de genre trois moins un point; son bout est de type Enneper et sa courbure totale est .
@article{AIF_1994__44_2_525_0, author = {Do Espirito Santo, Nedir}, title = {Complete minimal surfaces in ${\mathbb {R}}^3$ with type {Enneper} end}, journal = {Annales de l'Institut Fourier}, pages = {525--557}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {44}, number = {2}, year = {1994}, doi = {10.5802/aif.1408}, mrnumber = {95h:53008}, zbl = {0803.53006}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/aif.1408/} }
TY - JOUR AU - Do Espirito Santo, Nedir TI - Complete minimal surfaces in ${\mathbb {R}}^3$ with type Enneper end JO - Annales de l'Institut Fourier PY - 1994 SP - 525 EP - 557 VL - 44 IS - 2 PB - Association des Annales de l’institut Fourier UR - http://archive.numdam.org/articles/10.5802/aif.1408/ DO - 10.5802/aif.1408 LA - en ID - AIF_1994__44_2_525_0 ER -
%0 Journal Article %A Do Espirito Santo, Nedir %T Complete minimal surfaces in ${\mathbb {R}}^3$ with type Enneper end %J Annales de l'Institut Fourier %D 1994 %P 525-557 %V 44 %N 2 %I Association des Annales de l’institut Fourier %U http://archive.numdam.org/articles/10.5802/aif.1408/ %R 10.5802/aif.1408 %G en %F AIF_1994__44_2_525_0
Do Espirito Santo, Nedir. Complete minimal surfaces in ${\mathbb {R}}^3$ with type Enneper end. Annales de l'Institut Fourier, Volume 44 (1994) no. 2, pp. 525-557. doi : 10.5802/aif.1408. http://archive.numdam.org/articles/10.5802/aif.1408/
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