Holomorphic harmonic morphisms from cosymplectic almost Hermitian manifolds

Sigmundur Gudmundsson

Holomorphic harmonic morphisms from cosymplectic almost Hermitian manifolds

Differential Geometry 2014-09-04 v2

Authors: Sigmundur Gudmundsson

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.

Keywords

holonomy almost contact manifolds symplectic geometry

Cite

@article{arxiv.1409.0091,
  title  = {Holomorphic harmonic morphisms from cosymplectic almost Hermitian manifolds},
  author = {Sigmundur Gudmundsson},
  journal= {arXiv preprint arXiv:1409.0091},
  year   = {2014}
}

Comments

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

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