Certain results on invariant submanifolds of an almost Kenmotsu $$(\kappa ,\mu ,\nu )$$-space

Shape Operator of Slant Submanifolds in Kenmotsu Space Forms

On 3-dimensional Almost Kenmotsu Manifolds Admitting Certain Nullity Distribution

The aim of this paper is to characterize 3-dimensional almost Kenmotsu manifolds with ξ belonging to the (k, μ)′-nullity distribution and h′ 6= 0 satisfying certain geometric conditions. Finally, we give an example to verify some results.

Invariant Submanifolds of Kenmotsu Manifolds Admitting Quarter Symmetric Metric Connection

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...

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...