Open book structures and unicity of minimal submanifolds
Annales de l'Institut Fourier, Volume 40 (1990) no. 3, p. 701-708

We prove unicity of certain minimal submanifolds, for example Clifford annuli in ${S}^{3}$. The idea is to consider the placement of the submanifold with respect to the (singular) foliation of ${S}^{3}$ by the Clifford annuli whose boundary are two fixed great circles a distance $\pi /2$ apart.

Nous démontrons l’unicité de certaines sous-variétés minimales, par exemple, les anneaux de Clifford dans ${S}^{3}$. L’idée est de regarder le placement de la sous-variété minimale par rapport au feuilletage singulier de ${S}^{3}$ par des anneaux de Clifford de bord deux géodésiques fixées à une distance $\pi /2$.

@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},
publisher = {Imprimerie Louis-Jean},
address = {Gap},
volume = {40},
number = {3},
year = {1990},
pages = {701-708},
doi = {10.5802/aif.1229},
zbl = {0702.53039},
mrnumber = {92e:53009},
language = {en},
url = {http://www.numdam.org/item/AIF_1990__40_3_701_0}
}

Hardt, R.; Rosenberg, Harold. Open book structures and unicity of minimal submanifolds. Annales de l'Institut Fourier, Volume 40 (1990) no. 3, pp. 701-708. doi : 10.5802/aif.1229. http://www.numdam.org/item/AIF_1990__40_3_701_0/

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