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.

引用

页数：9

共 26 条

[1]

Albertazzi L., 2013, HDB EXPT PHENOMENOLO

[2]

Blair D.E., 1977, Simon Stevin, V51, P3

[3]

Casorati F., 1890, ACTA MATH, V14, P95, DOI DOI 10.1007/BF02413317

[4] AN OPTIMAL INEQUALITY FOR CR-WARPED PRODUCTS IN COMPLEX SPACE FORMS INVOLVING CR δ-INVARIANT [J].