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}, mrnumber = {92e:53009}, zbl = {0702.53039}, 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 SP - 701 EP - 708 VL - 40 IS - 3 PB - Institut Fourier PP - Grenoble UR - http://www.numdam.org/articles/10.5802/aif.1229/ DO - 10.5802/aif.1229 LA - en ID - AIF_1990__40_3_701_0 ER -
%0 Journal Article %A Hardt, R. %A Rosenberg, Harold %T Open book structures and unicity of minimal submanifolds %J Annales de l'Institut Fourier %D 1990 %P 701-708 %V 40 %N 3 %I Institut Fourier %C Grenoble %U http://www.numdam.org/articles/10.5802/aif.1229/ %R 10.5802/aif.1229 %G en %F AIF_1990__40_3_701_0
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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