In this paper we construct complete minimal surfaces of arbitrary genus in with one, two, three and four ends respectively. Furthermore the surfaces lie between two parallel planes of .
Dans cet article nous construisons des surfaces minimales complètes de genre arbitraire dans ayant un, deux, trois et quatre bouts respectivement et, de plus, les surfaces sont situées entre deux plans parallèles de .
@article{AIF_1996__46_2_535_0,
author = {Costa, Celso J. and Sim\"oes, Plinio A. Q.},
title = {Complete minimal surfaces of arbitrary genus in a slab of ${\mathbb {R}}^3$},
journal = {Annales de l'Institut Fourier},
pages = {535--546},
year = {1996},
publisher = {Association des Annales de l'Institut Fourier},
volume = {46},
number = {2},
doi = {10.5802/aif.1523},
mrnumber = {97e:53015},
zbl = {0853.53005},
language = {en},
url = {https://www.numdam.org/articles/10.5802/aif.1523/}
}
TY - JOUR
AU - Costa, Celso J.
AU - Simöes, Plinio A. Q.
TI - Complete minimal surfaces of arbitrary genus in a slab of ${\mathbb {R}}^3$
JO - Annales de l'Institut Fourier
PY - 1996
SP - 535
EP - 546
VL - 46
IS - 2
PB - Association des Annales de l'Institut Fourier
UR - https://www.numdam.org/articles/10.5802/aif.1523/
DO - 10.5802/aif.1523
LA - en
ID - AIF_1996__46_2_535_0
ER -
%0 Journal Article
%A Costa, Celso J.
%A Simöes, Plinio A. Q.
%T Complete minimal surfaces of arbitrary genus in a slab of ${\mathbb {R}}^3$
%J Annales de l'Institut Fourier
%D 1996
%P 535-546
%V 46
%N 2
%I Association des Annales de l'Institut Fourier
%U https://www.numdam.org/articles/10.5802/aif.1523/
%R 10.5802/aif.1523
%G en
%F AIF_1996__46_2_535_0
Costa, Celso J.; Simöes, Plinio A. Q. Complete minimal surfaces of arbitrary genus in a slab of ${\mathbb {R}}^3$. Annales de l'Institut Fourier, Tome 46 (1996) no. 2, pp. 535-546. doi: 10.5802/aif.1523
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