Abstract
Recently, we have obtained Ricci curvature inequalities for skew CR-warped product submanifolds in the framework of complex space form. By the application of Bochner’s formula on these inequalities, we show that, under certain conditions, the base of these submanifolds is isometric to the Euclidean space. Furthermore, we study the impact of some differential equations on skew CR-warped product submanifolds and prove that, under some geometric conditions, the base is isometric to a special type of warped product.
Highlights
E analysis performed in [2, 5] proved that a nonconstant function λ on a complete Riemannian manifold (Un, g) satisfies the differential equation
Ali et al [7] characterized warped product submanifolds in Sasakian space form by the approach of the differential equation. e purpose of this paper is to study the impact of differential equation on skew CR-warped product submanifolds in the framework of the complex space form
We obtain some characterization by the application of Bochner formula
Summary
E analysis performed in [2, 5] proved that a nonconstant function λ on a complete Riemannian manifold (Un, g) satisfies the differential equation.
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