Almost h-conformal slant submersions from almost quaternionic Hermitian manifolds

TL;DR

This paper introduces and studies a new class of geometric maps called h-conformal slant submersions from almost quaternionic Hermitian manifolds, exploring their properties, conditions for geodesicity, and providing examples.

Contribution

It generalizes existing submersion concepts by defining h-conformal slant submersions and investigates their geometric properties and conditions for being totally geodesic.

Findings

Established properties of h-conformal slant submersions

Derived conditions for integrability and geodesicity

Provided explicit examples of such maps

Abstract

We introduce the notions of h-conformal slant submersions and almost h-conformal slant submersions from almost quaternionic Hermitian manifolds onto Riemannian manifolds as a generalization of Riemannian submersions, horizontally conformal submersions, slant submersions, h-slant submersions, almost h-slant submersion and conformal slant submersions. We investigate several properties of these including the integrability of distributions, the geometry of foliations and the conditions for such maps to be totally geodesic. Further we give some examples of such maps.