Open AccessRicci curvature of contact CR-warped product submanifolds in generalized Sasakian space forms admitting a trans-Sasakian structure
Author(s) -
Meraj Khan Ali,
Cenep Ozel
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2101125k
Subject(s) - mathematics , space form , ricci curvature , sectional curvature , mean curvature , pure mathematics , mathematical analysis , submanifold , curvature , norm (philosophy) , second fundamental form , product (mathematics) , scalar curvature , geometry , law , political science
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 trans-Sasakian structure in the expressions of the squared norm of mean curvature vector and warping function. We provide numerous physical applications of the derived inequalities. Finally, we prove that under a certain condition the base manifold is isometric to a sphere with a constant sectional curvature.