Holomorphic harmonic morphisms from cosymplectic almost Hermitian manifolds

2014/08/30 by Gudmundsson, Sigmundur
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1409.0091

Abstract

We study 4-dimensional Riemannian manifolds equipped with a minimal and conformal foliation \mathcal F of codimension 2. We prove that the two adapted almost Hermitian structures J₁ and J₂ are both cosymplectic if and only if \mathcal F is Riemannian and its horizontal distribution \mathcal H is integrable.

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