Riemannian submersions from almost contact metric manifolds

TL;DR

This paper derives the structure equations for contact-complex Riemannian submersions and explores their applications in the study of almost cosymplectic manifolds with Kähler fibers.

Contribution

It introduces the structure equations for contact-complex Riemannian submersions and applies them to analyze almost cosymplectic manifolds with Kähler fibers.

Findings

Derived structure equations for contact-complex Riemannian submersions.

Applied equations to study almost cosymplectic manifolds.

Provided new insights into the geometry of manifolds with Kähler fibers.

Abstract

In this paper we obtain the structure equation of a contact-complex Riemannian submersion and give some applications of this equation in the study of almost cosymplectic manifolds with Kaehler fibres.