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

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 π/2.

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 π/2 apart.

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     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},
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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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