Inequalities for Casorati curvatures of submanifolds in real space forms

被引：35

作者：

Zhang, Pan ^{[1
]}

Zhang, Liang ^{[2
]}

机构：

[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China

[2] Anhui Normal Univ, Sch Math & Comp Sci, Wuhu 241000, Anhui, Peoples R China

来源：

ADVANCES IN GEOMETRY | 2016年 / 16卷 / 03期

关键词：

Inequalities; Casorati curvatures; real space form; SATISFYING CHENS EQUALITY; SLANT SUBMANIFOLDS; LAGRANGIAN SUBMANIFOLDS;

D O I：

10.1515/advgeom-2016-0009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using Oprea's optimization methods on submanifolds, we give another proof of the inequalities relating the normalized delta-Casorati curvature (delta) over cap (c)(n-1) for submanifolds in real space forms. Also, inequalities relating the normalized delta-Casorati curvature delta(C)(n-1) for submanifolds in real space forms are obtained. Besides, we characterize a kind of Casorati ideal hypersurface of Euclidean 4-space. We also show that this kind of Casorati ideal hypersurface is rigid.

引用

页码：329 / 335

页数：7

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