Geometry of warped product immersions of Kenmotsu space forms and its applications to slant immersions

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.

Construction of slant immersions II

In the preceding article [T], we have constructed several examples of slant immersions into complex Euclidean spaces. The purpose of this article is to construct some additional examples to get slant and full immersions, in the sense of slantedness, into complex Euclidean spaces with arbitrary dimension, codimension, and positive slant angle.

Shape Operator of Slant Submanifolds 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-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.