Complete minimal surfaces in ${ℝ}^3$ with type Enneper end

Do Espirito Santo, Nedir. "Complete minimal surfaces in ${\mathbb {R}}^3$ with type Enneper end." Annales de l'institut Fourier 44.2 (1994): 525-557. <http://eudml.org/doc/75072>.

@article{DoEspiritoSanto1994,
abstract = {We show that there exists a complete minimal surface immersed into $\{\Bbb R\}^3$ 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 $-16\pi $.},
author = {Do Espirito Santo, Nedir},
journal = {Annales de l'institut Fourier},
keywords = {complete minimal surface; conformally equivalent; Riemann surface; Enneper type; total curvature},
language = {eng},
number = {2},
pages = {525-557},
publisher = {Association des Annales de l'Institut Fourier},
title = {Complete minimal surfaces in $\{\mathbb \{R\}\}^3$ with type Enneper end},
url = {http://eudml.org/doc/75072},
volume = {44},
year = {1994},
}

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
PB - Association des Annales de l'Institut Fourier
VL - 44
IS - 2
SP - 525
EP - 557
AB - We show that there exists a complete minimal surface immersed into ${\Bbb R}^3$ 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 $-16\pi $.
LA - eng
KW - complete minimal surface; conformally equivalent; Riemann surface; Enneper type; total curvature
UR - http://eudml.org/doc/75072
ER -