Curves and Geometry

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(1) By investigating the extrinsic shape of geodesics of all isoparametric hypersurfaces in a real space form we characterize such hypersurfaces. (Canadian Math.Bull.)(2) From the viewpoint of (1) we characterize all homogeneous real hypersurfaces in a complex projective space. (Archiv der Math.)(3) We study geometric properties of circles in a compact Hermitian symmetric space. (Tsukuba J.Math.)(4) Investigating the holomorphic distribution of homogeneous real hypersurfaces of type A1, A2 or type B, we characterize such real hypersurfaces. (Czechoslovak Math.J.)(5) By investigating the holomorphic distribution of all homogeneous real hypersurfaces we characterize them. (Tokyo J.Math.)