Nous démontrons l’unicité de certaines sous-variétés minimales, par exemple, les anneaux de Clifford dans . L’idée est de regarder le placement de la sous-variété minimale par rapport au feuilletage singulier de par des anneaux de Clifford de bord deux géodésiques fixées à une distance .
We prove unicity of certain minimal submanifolds, for example Clifford annuli in . The idea is to consider the placement of the submanifold with respect to the (singular) foliation of by the Clifford annuli whose boundary are two fixed great circles a distance apart.
@article{AIF_1990__40_3_701_0,
author = {Hardt, R. and Rosenberg, Harold},
title = {Open book structures and unicity of minimal submanifolds},
journal = {Annales de l'Institut Fourier},
pages = {701--708},
publisher = {Institut Fourier},
address = {Grenoble},
volume = {40},
number = {3},
year = {1990},
doi = {10.5802/aif.1229},
zbl = {0702.53039},
mrnumber = {92e:53009},
language = {en},
url = {http://www.numdam.org/articles/10.5802/aif.1229/}
}
TY - JOUR AU - Hardt, R. AU - Rosenberg, Harold TI - Open book structures and unicity of minimal submanifolds JO - Annales de l'Institut Fourier PY - 1990 DA - 1990/// SP - 701 EP - 708 VL - 40 IS - 3 PB - Institut Fourier PP - Grenoble UR - http://www.numdam.org/articles/10.5802/aif.1229/ UR - https://zbmath.org/?q=an%3A0702.53039 UR - https://www.ams.org/mathscinet-getitem?mr=92e:53009 UR - https://doi.org/10.5802/aif.1229 DO - 10.5802/aif.1229 LA - en ID - AIF_1990__40_3_701_0 ER -
Hardt, R.; Rosenberg, Harold. Open book structures and unicity of minimal submanifolds. Annales de l'Institut Fourier, Tome 40 (1990) no. 3, pp. 701-708. doi : 10.5802/aif.1229. http://www.numdam.org/articles/10.5802/aif.1229/
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