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

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(n1) is isometric to a n(1)-dimensional sphere S-n1(lambda(1)/n(1)) with constant sectional curvature lambda(1)/n(1).

Automated summary

The objective of this paper is to study the inequality for Ricci curvature of a semi-slant warped product submanifold and discuss the equality case. Physical applications of these inequalities are provided, and the relationship between the base manifold and a sphere with constant sectional curvature is also discussed.