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REAL HYPERSURFACES WITH φ-INVARIANT SHAPE OPERATOR IN A COMPLEX PROJECTIVE SPACE

Published online by Cambridge University Press:  08 December 2010

SADAHIRO MAEDA and
HIROO NAITOH
SADAHIRO MAEDA
Affiliation:
Department of Mathematics, Saga University 1 Honzyo, Saga 840-8502, Japan e-mail: smaeda@ms.saga-u.ac.jp
HIROO NAITOH
Affiliation:
Department of Mathematics, Yamaguchi University Yoshida, Yamaguchi 753-8512, Japan e-mail: naitoh@yamaguchi-u.ac.jp
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Abstract

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We characterize real hypersurfaces of type (A) and ruled real hypersurfaces in a complex projective space in terms of two φ-invariances of their shape operators, and give geometric meanings of these real hypersurfaces by observing their some geodesics.

Keywords

Primary 53B25Secondary 53C4053C22

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 53 , Issue 2 , May 2011, pp. 347 - 358
Copyright
Copyright © Glasgow Mathematical Journal Trust 2010

References

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