On construit des surfaces minimales simplement périodiques dans l’espace euclidien de dimension 3 en recollant des surfaces de Scherk et en utilisant les techniques de Kapouleas.
We construct simply periodic minimal surfaces in euclidean 3-space by gluing together Scherk surfaces, using the techniques of Kapouleas.
@article{AIF_1996__46_5_1385_0,
author = {Traizet, Martin},
title = {Construction de surfaces minimales en recollant des surfaces de {Scherk}},
journal = {Annales de l'Institut Fourier},
pages = {1385--1442},
year = {1996},
publisher = {Association des Annales de l'Institut Fourier},
volume = {46},
number = {5},
doi = {10.5802/aif.1554},
mrnumber = {98g:53012},
zbl = {0860.53004},
language = {fr},
url = {https://www.numdam.org/articles/10.5802/aif.1554/}
}
TY - JOUR AU - Traizet, Martin TI - Construction de surfaces minimales en recollant des surfaces de Scherk JO - Annales de l'Institut Fourier PY - 1996 SP - 1385 EP - 1442 VL - 46 IS - 5 PB - Association des Annales de l'Institut Fourier UR - https://www.numdam.org/articles/10.5802/aif.1554/ DO - 10.5802/aif.1554 LA - fr ID - AIF_1996__46_5_1385_0 ER -
%0 Journal Article %A Traizet, Martin %T Construction de surfaces minimales en recollant des surfaces de Scherk %J Annales de l'Institut Fourier %D 1996 %P 1385-1442 %V 46 %N 5 %I Association des Annales de l'Institut Fourier %U https://www.numdam.org/articles/10.5802/aif.1554/ %R 10.5802/aif.1554 %G fr %F AIF_1996__46_5_1385_0
Traizet, Martin. Construction de surfaces minimales en recollant des surfaces de Scherk. Annales de l'Institut Fourier, Tome 46 (1996) no. 5, pp. 1385-1442. doi: 10.5802/aif.1554
[1] , Non linear Analysis on Manifolds, Monge Ampere Equations, Springer Verlag, 1982. | Zbl
[2] , Riemannian Geometry, Birkhäuser, 1992.
[3] , , , Riemannian Geometry, second edition, Springer Verlag, 1990. | Zbl | MR
[4] and , Elliptic Partial Differential Equations of Second Order, 2nd Edition, Springer Verlag, 1983. | Zbl | MR
[5] , Complete constant mean curvature surfaces in euclidean three-space, Annals of Math., 131 (1990), 239-330. | Zbl | MR
[6] , Embedded minimal surfaces derived from Scherk's examples, Manuscripta Math., 62 (1988), 83-114. | Zbl | MR
[7] , Construction of Minimal Surfaces, Surveys in Geometry, University of Tokyo (1989), 1-96, et Lecture Notes n° 12, SFB256, Bonn (1989).
[8] , The triply periodic surfaces of Alan Schoen and their constant mean curvature companions, Manuscripta Math., 64 (1989), 291-357. | Zbl | MR
[9] , Construction of higher genus embedded minimal surfaces, Geom. and Top. of Submanifolds III World Sc. (1990), 174-191. | Zbl | MR
[10] , , The Geometry of Periodic Minimal Surfaces, Comment. Math. Helvetici, 68 (1993), 538-578. | Zbl | MR
[11] , Some recent developments in the theory of properly embedded minimal surfaces in ℝ3, Séminaire Bourbaki, n° 759 (1992). | Zbl | MR | Numdam
Cité par Sources :






