Proceedings - Mathematical Sciences

, Volume 122, Issue 4, pp 629–634 | Cite as

Real hypersurfaces of a complex space form

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Abstract

In this paper we are interested in obtaining a condition under which a compact real hypersurface of a complex projective space CP n is a geodesic sphere. We also study the question as to whether the characteristic vector field of a real hypersurface of the complex projective space CP n is harmonic, and show that the answer is in negative.

Keywords

Real hypersurfaces mean curvature Ricci curvature shape operator harmonic vector field 
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Notes

Acknowledgements

This work was supported by King Saud University, Deanship of Scientific Research, Research Group Project No. RGP-VPP-182. The author would wish to express his sincere thanks to the referee for many corrections and improvements.

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Copyright information

© Indian Academy of Sciences 2012

Authors and Affiliations

  1. 1.Department of Mathematics, College of ScienceKing Saud UniversityRiyadhSaudi Arabia

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