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 S3. L’idée est de regarder le placement de la sous-variété minimale par rapport au feuilletage singulier de S3 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 S3. The idea is to consider the placement of the submanifold with respect to the (singular) foliation of S3 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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     volume = {40},
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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. https://www.numdam.org/articles/10.5802/aif.1229/

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