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arXiv · 1907.02325

Harmonic almost contact metric manifolds revisited

Francisco Martín Cabrera
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Abstract

The study of harmonicity for almost contact metric structures was initiated by Vergara-D\'iaz and Wood and continued by Gonz\'alez-D\'avila and the present author. By using the intrinsic torsion and some restriction on the type of almost contact metric structure, Gonz\'alez-D\'avila and the present author have characterised harmonic structures by showing conditions relating harmonicity and classes of almost contact metric structures. Here we do this in a more general context. Moreover, the harmonicity of almost contact metric structures as a map is also done in such a general context. Finally, some remarks on the classification of almost contact metric structures are exposed.

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Francisco Martín Cabrera. 2019-07-04. Harmonic almost contact metric manifolds revisited. https://arxiv.org/abs/1907.02325

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