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

页码：167 / 182

页数：16