Semi-Slant Warped Product Submanifolds of a Kenmotsu Manifold

Semi-Slant Warped Product Submanifolds of a Kenmotsu Manifold

Application of Hopf's lemma on contact CR-warped product submanifolds of a nearly Kenmotsu manifold

In this paper we consider contact CR-warped product submanifolds of the type $M = N_Ttimes_f N_perp$, of a nearly Kenmotsu generalized Sasakian space form $bar M(f_1‎, ‎f_2‎, ‎f_3)$ and by use of Hopf's Lemma we show that $M$ is simply contact CR-product under certain condition‎. ‎Finally‎, ‎we establish a sharp inequality for squared norm of the second fundamental form and equality case is dis...

Contact CR-Warped product submanifolds in Kenmotsu space forms

Abstract: In the present paper, we give a necessary and sufficient condition for contact CR-warped product to be contact CR-product in Kenmotsu space forms.

Multiply Warped Product Submanifolds in Kenmotsu Space Forms

Recently, B. Y. Chen and F. Dillen established general sharp inequalities for multiply warped product submanifolds in arbitrary Riemannian manifolds. As applications, they obtained obstructions to minimal isometric immersions of multiply warped products into Riemannian manifolds. Later, the authors proved similar inequalities for multiply warped products isometrically immersed in Sasakian space...

Contact Cr-doubly Warped Product Submanifolds in Kenmotsu Space Forms

Recently, the author established general inequalities for CR-doubly warped products isometrically immersed in Sasakian space forms. In the present paper, we obtain sharp estimates for the squared norm of the second fundamental form (an extrinsic invariant) in terms of the warping functions (intrinsic invariants) for contact CR-doubly warped products isometrically immersed in Kenmotsu space form...