Bounds for Generalized Normalized delta-Casorati Curvatures for Submanifolds in Generalized (kappa, mu)-space Forms

被引：1
|
作者：
Aquib, Mohd [1 ]
Shahid, Mohammad Hasan [1 ]
机构：
[1] Jamia Millia Islamia, Fac Nat Sci, Dept Math, New Delhi 110025, India
来源：
KYUNGPOOK MATHEMATICAL JOURNAL | 2018年 / 58卷 / 01期
关键词：
Casorati curvature; generalized; (kappa; mu)-space forms; normalized scalar curvature;
D O I：
10.5666/KMJ.2018.58.1.167
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove the optimal inequalities for the generalized normalized delta-Casorati curvature and the normalized scalar curvature for different submanifolds in generalized (kappa, mu)-space forms. The proof is based on an optimization procedure involving a quadratic polynomial in the components of the second fundamental form. We also characterize the submanifolds on which equalities hold.
引用
收藏
页码：167 / 182
页数：16
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