Optimal inequalities for the Casorati curvatures of submanifolds of real space forms endowed with semi-symmetric metric connections

Journal of inequalities and applications

Chul Woo Lee¹ 

关键词: Casorati curvature;    real space form;    semi-symmetric metric connection;   

DOI  :  10.1186/1029-242X-2014-327

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we prove two optimal inequalities involving the intrinsic scalar curvature and extrinsic Casorati curvature of submanifolds of real space forms endowed with a semi-symmetric metric connection. Moreover, we show that in both cases, the equality at all points characterizes the invariantly quasi-umbilical submanifolds. MSC:53C40, 53B05.

【 授权许可】

CC BY