Open book structures and unicity of minimal submanifolds
Hardt, R. ; Rosenberg, Harold
Annales de l'Institut Fourier, Tome 40 (1990), p. 701-708 / Harvested from Numdam
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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},
     volume = {40},
     year = {1990},
     pages = {701-708},
     doi = {10.5802/aif.1229},
     mrnumber = {92e:53009},
     zbl = {0702.53039},
     language = {en},
     url = {http://dml.mathdoc.fr/item/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) pp. 701-708. doi : 10.5802/aif.1229. http://gdmltest.u-ga.fr/item/AIF_1990__40_3_701_0/

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