Slant Riemannian maps from almost Hermitian manifolds

TL;DR

This paper introduces slant Riemannian maps from almost Hermitian manifolds to Riemannian manifolds, exploring their properties, existence conditions, harmonicity, and conditions for being totally geodesic, along with a decomposition theorem.

Contribution

It generalizes existing submersion concepts by defining and analyzing slant Riemannian maps, including their harmonicity and geodesic conditions.

Findings

Existence conditions for slant Riemannian maps established.

Harmonicity criteria for these maps derived.

Conditions for total geodesicity and a decomposition theorem provided.

Abstract

As a generalization of holomorphic submersions, anti-invariant submersions and slant submersions, we introduce slant Riemannian maps from almost Hermitian manifolds to Riemannian manifolds. We give examples, obtain the existence conditions of slant Riemannian maps and investigate harmonicity of such maps. We also obtain necessary and sufficient conditions for slant Riemannian maps to be totally geodesic and give a decomposition theorem for the total manifold.