Semi-invariant Conformal submersions with horizontal Reeb vector field

TL;DR

This paper introduces semi-invariant conformal submersions with horizontal Reeb vector fields from almost contact metric manifolds to Riemannian manifolds, generalizing known submersions and analyzing their geometric properties.

Contribution

It defines a new class of submersions called semi-invariant conformal $perp$-Riemannian submersions and explores conditions for them to be totally geodesic and harmonic.

Findings

Conditions for submersions to be totally geodesic

Conditions for submersions to be harmonic

Examples with horizontal Reeb vector field

Abstract

The present paper deals with the characterization of a new submersion named semi-invariant conformal $\zeta ^{\perp }$-Riemannian submersion from almost contact metric manifolds onto Riemannian manifolds which is the generalization of some known submersions on Riemannian manifolds. We give important and adequate conditions for such submersions to be totally geodesic and harmonic. Also, few examples are examined for such submersions endowed with horizontal Reeb vector field.