# Geometry of contact skew CR-warped product submanifolds of Sasakian manifolds

## TL;DR

This paper investigates the geometric properties of contact skew CR-warped product submanifolds within Sasakian manifolds, establishing inequalities involving their second fundamental form and providing examples.

## Contribution

It introduces the concept of contact skew CR-warped products, derives an inequality relating their curvature and warping function, and explores conditions for equality with applications.

## Key findings

- Established an inequality for the squared norm of the second fundamental form.
- Analyzed the equality case of the inequality.
- Provided a non-trivial example of contact skew CR-warped product submanifolds.

## Abstract

In this paper, we study warped products of contact skew-CR submanifolds, called contact skew CR-warped products. We establish an inequality for the squared norm of the second fundamental form in terms of the warping function and the slant angle. The equality case in the statement of the inequality is investigated and some applications of derived inequality are given. Furthermore, we provide a non-trivial example of such submanifolds.