Geometry of pointwise semi-slant warped products in locally conformal Kaehler manifolds

TL;DR

This paper explores the geometric properties of pointwise semi-slant warped products within locally conformal Kaehler manifolds, extending Chen's inequality and analyzing equality cases.

Contribution

It introduces new results on the geometry of pointwise semi-slant warped products and extends Chen's inequality in the context of locally conformal Kaehler manifolds.

Findings

Extended Chen's inequality for CR-warped product submanifolds.

Derived conditions for equality cases in the inequality.

Proved several new results on pointwise semi-slant warped products.

Abstract

In this paper, we study the geometry of pointwise semi-slant warped products in a locally conformal Kaehler manifold. In particular, we obtain several results which extend Chen's inequality for CR-warped product submanifolds in Kaehler manifolds. Also, we study the corresponding equality cases. Several related results on pointwise semi-slant warped products are also proved in this paper.