Ricci curvature of contact CR-warped product submanifolds in generalized Sasakian space forms admitting nearly Sasakian structure

被引:4
作者
Al-Dayel, Ibrahim [1 ]
Khan, Meraj Ali [2 ]
机构
[1] Imam Mohammad Ibn Saud Islamic Univ, Coll Sci, Dept Math & Stat, POB 65892, Riyadh 11566, Saudi Arabia
[2] Univ Tabuk, Dept Math, Tabuk, Saudi Arabia
来源
AIMS MATHEMATICS | 2021年 / 6卷 / 03期
关键词
contact CR-submanifolds; generalized Sasakian space form; Ricci curvature; Laplacian; warped product;
D O I
10.3934/math.2021130
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The objective of this paper is to achieve the inequality for Ricci curvature of a contact CR-warped product submanifold isometrically immersed in a generalized Sasakian space form admitting a nearly Sasakian structure in the expressions of the squared norm of mean curvature vector and warping function. In addition, the equality case is likewise discussed. Later, we proved that under a certain condition the base manifold N-T(n1) is isometric to a n(1)-dimensional sphere S-n1(lambda(1)/n(1) ) with constant sectional curvature lambda(1)/n(1).
引用
收藏
页码:2132 / 2151
页数:20
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