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

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.

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Bibliographic Details
Published in:Glasgow mathematical journal 2011-05, Vol.53 (2), p.347-358
Main Authors: MAEDA, SADAHIRO, NAITOH, HIROO
Format: Article
Language:English
Subjects:
Mathematical analysis
Operators
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Summary: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.
ISSN:0017-0895
1469-509X
DOI:10.1017/S0017089510000765