Inequalities for the Casorati curvatures of slant submanifolds in quaternionic space forms

被引：25
|
作者：
Slesar, Vladimir [1 ]
Sahin, Bayram [2 ]
Vilcu, Gabriel-Eduard [3 ,4 ]
机构：
[1] Univ Craiova, Dept Math, Craiova 200585, Romania
[2] Inonu Univ, Dept Math, TR-44280 Malatya, Turkey
[3] Petr Gas Univ Ploiesti, Dept Math Modelling Econ Anal & Stat, Ploiesti 100680, Romania
[4] Univ Bucharest, Res Ctr Geometry Topol & Algebra, Fac Math & Comp Sci, Bucharest 70109, Romania
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年
关键词：
scalar curvature; mean curvature; Casorati curvature; shape operator; quaternionic space form; slant submanifold; optimal inequality; LAGRANGIAN SUBMANIFOLDS; CHEN INEQUALITIES;
D O I：
10.1186/1029-242X-2014-123
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we prove two sharp inequalities that relate the normalized scalar curvature with the Casorati curvature for a slant submanifold in a quaternionic space form. Moreover, we show that in both cases, the equality at all points characterizes the invariantly quasi-umbilical submanifolds.
引用
收藏
页数：10
相关论文
共 50 条
12345