島根大学総合理工学部紀要.シリーズB

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島根大学総合理工学部紀要.シリーズB 33
2000-03 発行

Geometry of a Complex Projective Space from the Viewpoint of its Curves and Real Hypersurfaces

前田 定廣
Adachi Toshiaki
ファイル
内容記述(抄録等)
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.