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

页数：10

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