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arXiv · 1109.2745

The harmonicity of nearly cosymplectic structures

E. Loubeau·E. Vergara-Diaz
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Abstract

Almost contact structures can be identified with sections of a twistor bundle and this allows to define their harmonicity, as sections or maps. We consider the class of nearly cosymplectic almost contact structures on a Riemannian manifold and prove curvature identities which imply the harmonicity of their parametrizing section, thus complementing earlier results on nearly-K{ä}hler almost complex structures.

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E. Loubeau, E. Vergara-Diaz. 2011-09-13. The harmonicity of nearly cosymplectic structures. https://arxiv.org/abs/1109.2745

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