Title: GEOMETRY OF A COMPLEX PROJECTIVE SPACE FROM THE VIEWPOINT OF ITS CURVES AND REAL HYPERSURFACES
Abstract: This expository paper consists of two parts. In the first half we study circles in a complex projective space and give a characterization of homogeneous real hypersurfaces in a complex projective space by using geometric properties of circles. In the latter half we study geodesics of geodesic spheres, which are the simplest real hypersurfaces in a complex projective space, and investigate their length spectrum in detail. Finally we characterize real and complex space forms from this point of view.
Publication Year: 2000
Publication Date: 2000-03-01
Language: en
Type: article
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Cited By Count: 3
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