Conformal pointwise slant Riemannian maps from or to K\"{a}hler manifolds

TL;DR

This paper introduces and analyzes conformal pointwise-slant Riemannian maps between Kähler and Riemannian manifolds, exploring their properties, examples, and conditions for harmonicity and geodesic behavior.

Contribution

It provides the first study of CPSRM maps involving Kähler manifolds, including existence conditions, properties, and inequalities, with new examples and theoretical results.

Findings

Existence of non-trivial CPSRM maps demonstrated.

Conditions for harmonicity and homotheticity established.

Inequalities related to these maps derived.

Abstract

In this article, we study Conformal pointwise-slant Riemannian maps (\textit{CPSRM}) from or to K\"{a}hler manifolds to or from Riemannian manifolds. To check the existence of such maps, we provide some non-trivial examples. We derive some important results for these maps. We discuss the integrability and totally geodesicness of the distributions. Further, we investigate the conditions for homotheticity and harmonicity of these maps. Finally, we study some inequalities for these maps.