Open AccessRicci curvature of semi-slant warped product submanifolds in generalized complex space forms
Author(s) -
Ali H. Alkhaldi,
AUTHOR_ID,
Meraj Ali Khan,
Shyamal Kumar Hui,
Pradip Mandal,
AUTHOR_ID,
AUTHOR_ID
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022394
Subject(s) - mathematics , ricci curvature , sectional curvature , space form , submanifold , second fundamental form , curvature , mean curvature , product (mathematics) , pure mathematics , mathematical analysis , lambda , space (punctuation) , norm (philosophy) , complex space , scalar curvature , geometry , physics , computer science , law , political science , optics , affine transformation , operating system
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}. $