Hypersurfaces in Simply Connected Space Forms

Proceedings Mathematical Sciences

G Santhanum¹ 

[1] Department of Mathematics and Statistics, Indian Institute of Technology, Kanpur 0 0, India$$

关键词: Hypersurface;    Ricci curvature;    space forms;    totally umbilic;    horosphere.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

Let 𝑀 be a hypersurface in a simply connected space form $mathbb{M}(𝜅)$. We prove some rigidity results for 𝑀 in terms of lower bounds on the Ricci curvature of the hypersurface 𝑀.

【 授权许可】

Unknown