Energy spectrum of certain harmonic mappings
Isoparametric hypersurfaces with less than four principal curvatures in a sphere
We characterize Clifford hypersurfaces and Cartan minimal hypersurfaces in a sphere by some properties of extrinsic shapes of their geodesics.
Shape Operators and Structure Tensors of Real Hypersurfaces in Nonflat Quaternionic Space Forms
We characterize curvature-adapted real hypersurfaces in nonflat quaternionic space forms in terms of their shape operators and structure tensors.
Characterization of totally umbilic hypersurfaces in a space form by circles
In this paper we characterize totally umbilic hypersurfaces in a space form by a property of the extrinsic shape of circles on hypersurfaces. This characterization corresponds to characterizations of isoparametric hypersurfaces in a space form by properties of the extrinsic shape of geodesics due to Kimura-Maeda.
Extrinsic shape of circles and standard imbeddings of projective spaces.
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