The harmonicity of nearly cosymplectic structures

Loubeau, E.; Vergara-Diaz, E.

doi:10.1090/S0002-9947-2015-06670-7

The harmonicity of nearly cosymplectic structures
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by E. Loubeau and E. Vergara-Diaz PDF

Trans. Amer. Math. Soc. 367 (2015), 5301-5327 Request permission

Abstract:

Almost contact structures can be identified with sections of a twistor bundle and this allows us 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-Kähler almost complex structures.

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