On doubly warped product submanifolds of generalized (kappa, mu)-space forms

被引：0

作者：

Faghfouri, Morteza ^{[1
]}

Ghaffarzadeh, Narges ^{[1
]}

机构：

[1] Univ Tabriz, Fac Math, Tabriz, Iran

来源：

AFRIKA MATEMATIKA | 2015年 / 26卷 / 7-8期

关键词：

Doubly warped product; C-totally real submanifold; Geometric inequality; Eigenfunction of the Laplacian operator; (kappa; mu)-space forms; Kenmotsu manifold;

D O I：

10.1007/s13370-014-0299-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we establish a general inequality involving the Laplacian of the warping functions and the squared mean curvature of any doubly warped product isometrically immersed in a Riemannian manifold. Moreover, we obtain some geometric inequalities for C-totally real doubly warped product submanifolds of generalized (kappa, mu)-space forms.

引用

页码：1443 / 1455

页数：13

共 18 条

[1] Generalized Sasakian-space-forms [J].