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
收藏
页码：329 / 335
页数：7
相关论文
共 50 条
12345