Ricci curvature of semi-slant warped product submanifolds in generalized complex space forms

AIMS Mathematics

Ali H. Alkhaldi¹  Meraj Ali Khan²  Pradip Mandal³  Shyamal Kumar Hui³ 

[1] 1. Department of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi Arabia;2. Computational and Analytical Mathematics and Their Applications Research Group, Department of Mathematics Faculty of Science, University of Tabuk, Tabuk, Saudi Arabia;3. Department of Mathematics, The University of Burdwan, Burdwan-713104, West Bengal, India;

关键词: ricci curvature;    laplacian;    hamiltonian;    dirichlet energy;   

DOI  :  10.3934/math.2022394

来源: DOAJ

【 摘 要 】

The objective of this paper is to achieve the inequality for Ricci curvature of a semi-slant warped product submanifold isometrically immersed in a generalized complex space form admitting a nearly Kaehler structure in the expressions of the squared norm of mean curvature vector and warping function. In addition, the equality case is likewise discussed. We provide numerous physical applications of the derived inequalities. Later, we proved that under a certain condition the base manifold $ N_T^{n_1} $ is isometric to a $ n_1 $-dimensional sphere $ S^{n_1}(\frac{\lambda_1}{n_1}) $ with constant sectional curvature $ \frac{\lambda_1}{n_1}. $

【 授权许可】

Unknown