# Harmonic almost contact metric manifolds revisited

## TL;DR

This paper extends the understanding of harmonic almost contact metric structures by generalizing previous characterizations and analyzing harmonicity as a map, with implications for their classification.

## Contribution

It broadens the context for harmonicity conditions and explores harmonic maps and classification aspects of almost contact metric structures.

## Key findings

- Harmonicity characterized in a more general setting.
- Harmonicity as a map analyzed in this broader context.
- Remarks provided on classification of structures.

## 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.