Slant submersions from almost Hermitian manifolds

TL;DR

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

Contribution

It presents the concept of slant submersions, investigates their geometric structures, harmonicity, and provides conditions for total geodesicity and a decomposition theorem.

Findings

Examples of slant submersions are provided.

Conditions for harmonicity are established.

Criteria for total geodesicity are derived.

Abstract

We introduce slant submersions from almost Hermitian manifolds onto Riemannian manifolds. We give examples, investigate the geometry of foliations which are arisen from the definition of a Riemannian submersion and check the harmonicity of such submersions. We also find necessary and sufficient conditions for a slant submersion to be totally geodesic. Moreover, we obtain a decomposition theorem for the total manifold of such submersions.