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.
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
@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{\textquoteright}institut Fourier},
volume = {46},
number = {5},
doi = {10.5802/aif.1554},
zbl = {0860.53004},
mrnumber = {98g:53012},
language = {fr},
url = {https://aif.centre-mersenne.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://aif.centre-mersenne.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://aif.centre-mersenne.org/articles/10.5802/aif.1554/ %R 10.5802/aif.1554 %G fr %F AIF_1996__46_5_1385_0
[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 :
