Conformal anti-invariant submersions from almost Hermitian manifolds

TL;DR

This paper introduces and analyzes conformal anti-invariant submersions from almost Hermitian manifolds, exploring their geometric properties, conditions for being totally geodesic, harmonicity, and curvature relations.

Contribution

It provides new insights into the geometry of conformal anti-invariant submersions, including conditions for total geodesicity and harmonicity, and examines curvature relations between manifolds.

Findings

Conditions for conformal anti-invariant submersions to be totally geodesic

Criteria for harmonicity of these submersions

Curvature relations between base and total space

Abstract

We introduce conformal anti-invariant submersions from almost Hermitian manifolds onto Riemannian manifolds. We give examples, investigate the geometry of foliations which are arisen from the definition of a conformal submersion and find necessary and sufficient conditions for a conformal anti-invariant submersion to be totally geodesic. We also check the harmonicity of such submersions and show that the total space has certain product structures. Moreover, we obtain curvature relations between the base space and the total space, and find geometric implications of these relations.