In this paper, some relations among the second fundamental form which is an extrinsic
invariant, Laplacian of the warping function and constant sectional curvature of a warped …

It is known from [K. Yano and M. Kon, Structures on Manifolds (World Scientific, 1984)] that
the integration of the Laplacian of a smooth function defined on a compact orientable …

In this paper, we study semi-slant submanifolds and their warped products in Kenmotsu
manifolds. The existence of such warped products in Kenmotsu manifolds is shown by an …

Warped products are the most natural and fruitful generalization of Riemannian products.
Such products play very important roles in differential geometry and in general relativity …

In this paper, we study semi-slant submanifolds and warped product semi-slant
submanifolds of Kenmotsu manifolds, which have not been considered in earlier studies. A …

Recently, Arslan et al.[K. Arslan, R. Ezentas, I. Mihai, C. Murathan, J. Korean Math. Soc., 42
(2005), 1101–1110] studied contact CR-warped product submanifolds of the form MT× f M⊥ …

In this paper, we study pseudo-slant submanifolds and their warped products in Kenmotsu
manifolds. We obtain the necessary conditions that a pseudoslant submanifold is locally a …

The objective of this paper is to achieve the inequality for Ricci curvature of a contact CR-
warped product submanifold isometrically immersed in a generalized Sasakian space form …

The purpose of this article is to obtain geometric conditions in terms of gradient Ricci
curvature, both necessary and sufficient, for a warped product semi-slant in a Kenmotsu …

In this paper, we introduce the notion of warped product skew CR-submanifolds in
Kenmotsu manifolds. We obtain several results on such submanifolds. A characterization for …