Memoirs of the Graduate School of Science and Engineering, Shimane University. Series B, Mathematics

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Memoirs of the Graduate School of Science and Engineering, Shimane University. Series B, Mathematics 45
2012-03 発行

Characterizations of isoparametric hypersurfaces in a sphere

Maeda, Sadahiro
Tanabe, Hiromasa
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Description
We characterize isoparametric hypersurfaces in a sphere by using covariant derivatives of their shape operators and by observing the extrinsic shape of their geodesics.