Conformal generic submersions with total space an almost Hermitian manifold

TL;DR

This paper studies conformal generic submersions from almost Hermitian manifolds, extending previous submersion concepts, and explores their geometric properties, conditions for being totally geodesic or harmonic, with examples and characterizations.

Contribution

It introduces and analyzes conformal generic submersions from almost Hermitian manifolds, extending existing submersion classes and providing new geometric insights and conditions.

Findings

Characterizations of conformal generic submersions

Conditions for total geodesicity and harmonicity

Examples illustrating the concepts

Abstract

Akyol, M. A and \c{S}ahin, B. [Conformal semi-invariant submersions, Commun. Contemp. Math. 19, 1650011 (2017).] introduced the notion of conformal semi-invariant submersions from almost Hermitian manifolds. The present paper deal with the study of conformal generic submersions from almost Hermitian manifolds which extends semi-invariant submersions, generic Riemannian submersions and conformal semi-invariant submersions a natural way. We mention some examples of such maps and obtain characterizations and investigate some properties, including the integrability of distributions, the geometry of foliations and totally geodesic foliations. Moreover, we obtain some conditions for such submersions to be totally geodesic and harmonic, respectively.