Warped Product Conformal Kahler Manifolds and Kenmotsu Structures

TL;DR

This paper explores the conditions under which warped product manifolds of Kenmotsu manifolds and the real line become conformal Kahler manifolds, highlighting the relationship between Kenmotsu and Kahler geometries.

Contribution

It establishes specific conditions for warped product Kenmotsu manifolds to be conformal Kahler, revealing a new connection between these geometric structures.

Findings

Warped product Kenmotsu manifolds can be conformal Kahler under certain conditions.

The study clarifies the relationship between Kenmotsu and Kahler manifolds.

Conditions for conformal Kahler structures on warped products are explicitly characterized.

Abstract

In this paper, we investigate the condition on warped product manifold of a Kenmotsu manifold and the real line to be a conformal Kahler manifold. This result demonstrates the close relation of Kenmotsu and Kahler manifolds.