On the harmonicity of normal almost contact metric structures

2011/09/09 by E. Loubeau, Loubeau, E., E. Vergara-Diaz +1
Mathematics · Physics and Astronomy · #53C10 #53C15 #53C43 #53D15 #58E20 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1109.1964

openalex publication_date 2011/09/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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