On the harmonicity of normal almost contact metric structures
Differential Geometry
2023-10-18 v2
Abstract
We consider normal almost contact structures on a Riemannian manifold and, through their associated sections of an ad-hoc twistor bundle, study their harmonicity, as sections or as maps. We rewrite these harmonicity equations in terms of the Riemann curvature tensor and find conditions relating the harmonicity of the almost contact and almost complex structures of the total and base spaces of the Morimoto fibration.
Cite
@article{arxiv.1109.1964,
title = {On the harmonicity of normal almost contact metric structures},
author = {E. Loubeau and E. Vergara-Diaz},
journal= {arXiv preprint arXiv:1109.1964},
year = {2023}
}
Comments
Crucial mistake in Proposition 2.1. Article superseded by "Harmonicity of normal almost contact metric structures'', with four authors. It non only corrects arXiv:1109.1964 [math.DG] but also vastly improves it with a systematic approach to homogeneous principal circle bundles over generalised flag manifolds