Holomorphic harmonic morphisms from cosymplectic almost Hermitian manifolds

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 $J_1$ and $J_2$ are both cosymplectic if and only if $\mathcal{F}$ is Riemannian and its horizontal distribution $\mathcal{H}$ is integrable.

arXiv admin note: text overlap with arXiv:1310.5113, arXiv:1405.5053

References in corpus (1)

• Harmonic morphisms from four dimensional Lie groups