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.

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 i...

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...

In Section 2, we give preliminaries on f-Kenmotsu manifolds. The concept of f-Kenmotsu manifold, where f is a real constant, appears for the first time in the paper of Jannsens and Vanhecke 1 . More recently, Olszak and Roşca 2 defined and studied the f-Kenmotsu manifold by the formula 2.3 , where f is a function on M such that df ∧ η 0. Here, η is the dual 1-form corresponding to the character...

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...

The object of this paper is to study invariant submanifolds M of Kenmotsu manifolds M̃ admitting a quarter symmetric metric connection and to show that M admits quarter symmetric metric connection. Further it is proved that the second fundamental forms σ and σ with respect to LeviCivita connection and quarter symmetric metric connection coincide. Also it is shown that if the second fundamental f...

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.

We study in this paper harmonic maps and harmonic morphisms on Kenmotsu manifolds. We also give some results on the spectral theory of a harmonic map for which the target manifold is a Kenmotsu manifold.

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...