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

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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
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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.
NCID
AA11157123