Geodesic
Isoparametric hypersurfaces with less than four principal curvatures in a sphere
Toshiaki Adachi1 ; Sadahiro Maeda2
1 Department of Mathematics Nagoya Institute of Technology Gokiso, Nagoya, 466-8555 Japan
2 Department of Mathematics Shimane University Matsue, Shimane, 690-8504 Japan
Colloquium Mathematicum, Tome 105 (2006) no. 1, pp. 143-148.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We characterize Clifford hypersurfaces and Cartan minimal hypersurfaces in a sphere by some properties of extrinsic shapes of their geodesics.
DOI : 10.4064/cm105-1-13
Keywords: characterize clifford hypersurfaces cartan minimal hypersurfaces sphere properties extrinsic shapes their geodesics

Toshiaki Adachi 1 ; Sadahiro Maeda 2

1 Department of Mathematics Nagoya Institute of Technology Gokiso, Nagoya, 466-8555 Japan
2 Department of Mathematics Shimane University Matsue, Shimane, 690-8504 Japan 
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Toshiaki Adachi; Sadahiro Maeda. Isoparametric hypersurfaces with
 less than four principal curvatures in a sphere. Colloquium Mathematicum, Tome 105 (2006) no. 1, pp. 143-148. doi : 10.4064/cm105-1-13. http://geodesic.mathdoc.fr/articles/10.4064/cm105-1-13/

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