Real Hypersurfaces of a Complex Projective Space

Proceedings Mathematical Sciences

Sharief Deshmukh¹ 

[1] Department of Mathematics, College of Science, King Saud University, P.O. Box #, Riyadh , Saudi Arabia$$

关键词: Real hypersurfaces;    mean curvature;    Ricci curvature;    shape operator;    𝜑-analytic vector fields;    Jacobi-type vector fields.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper, we classify real hypersurfaces in the complex projective space $CPfrac{n+1}{2}$ whose structure vector field is a 𝜑-analytic vector field (a notion similar to analytic vector fields on complex manifolds). We also define Jacobi-type vector fields on a Riemannian manifold and classify real hypersurfaces whose structure vector field is a Jacobi-type vector field.

【 授权许可】

Unknown