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

number of downloads : ?
Memoirs of the Graduate School of Science and Engineering, Shimane University. Series B, Mathematics 33
2000-03 発行

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

Maeda, Sadahiro
Adachi Toshiaki
File
Description
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.