Holomorphic harmonic morphisms from cosymplectic almost Hermitian manifolds

Sigmundur Gudmundsson

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arXiv · 1409.0091

Holomorphic harmonic morphisms from cosymplectic almost Hermitian manifolds

Sigmundur Gudmundsson

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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.

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Sigmundur Gudmundsson. 2014-08-30. Holomorphic harmonic morphisms from cosymplectic almost Hermitian manifolds. https://arxiv.org/abs/1409.0091

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