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

被引：51
|
作者：
Lee, Chul Woo [1 ]
Yoon, Dae Won [2 ,3 ]
Lee, Jae Won [4 ]
机构：
[1] Kyungpook Natl Univ, Dept Math, Taegu 702701, South Korea
[2] Gyeongsang Natl Univ, Dept Math Educ, Jinju 660701, South Korea
[3] Gyeongsang Natl Univ, RINS, Jinju 660701, South Korea
[4] Busan Natl Univ Educ, Dept Math Educ, Pusan 611736, South Korea
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年
关键词：
Casorati curvature; real space form; semi-symmetric metric connection; RIEMANNIAN MANIFOLD; SLANT SUBMANIFOLDS; CHEN INEQUALITIES;
D O I：
10.1186/1029-242X-2014-327
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
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页数：9
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