Real Hypersurfaces of a Complex Space Form

Proceedings Mathematical Sciences

Sharief Deshmukh¹ 

[1] Department of Mathematics, College of Science, King Saud University, P.B. No. , Riyadh , Saudi Arabia$$

关键词: Real hypersurfaces;    mean curvature;    Ricci curvature;    shape operator;    harmonic vector field.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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.

【 授权许可】

Unknown