Peer-reviewedCC BY 4.0Differential Geometry and its Applications
Harmonicity of normal almost contact metric structures
Abstract
Normal almost contact metric structure Riemannian submersion Flag manifold.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 curvature tensor and find conditions relating the harmonicity of the almost contact metric and almost complex structures of the total and base spaces of the Morimoto fibration. We apply these results to homogeneous principal circle bundles over generalised flag manifolds, in particular Aloff-Wallach spaces, to massproduce harmonic almost contact metric structures.
Related
- Weakly Einstein and weakly η-Einstein structures on almost contact metric three-manifolds
- Quasi-contact metric structures from Sasaki-Einstein metrics
- Automorphism groups of Cayley graphs on almost simple groups with normal connection sets
- Infinitesimmaly homogeneous manifolds with symplectic and almost contact structure groups
- Invariant almost Hermitian structures on the maximal real flag manifold of type 𝒜3
BibTeX
@article{benyounes2026harmonicity,
title = {{Harmonicity of normal almost contact metric structures}},
author = {M. Benyounes and T. Levasseur and E. Loubeau and E. Vergara-Diaz},
journal = {Differential Geometry and its Applications},
year = {2026},
month = oct,
doi = {10.1016/j.difgeo.2026.102353},
url = {https://hal.science/hal-05804558v1},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Harmonicity of normal almost contact metric structures
AU - M. Benyounes
AU - T. Levasseur
AU - E. Loubeau
AU - E. Vergara-Diaz
PY - 2026
DA - 2026/10/18
JO - Differential Geometry and its Applications
DO - 10.1016/j.difgeo.2026.102353
UR - https://hal.science/hal-05804558v1
AB - Normal almost contact metric structure Riemannian submersion Flag manifold.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 curvature tensor and find conditions relating the harmonicity of the almost contact metric and almost complex structures of the total and base spaces of the Morimoto fibration. We apply these results to homogeneous principal circle bundles over generalised flag manifolds, in particular Aloff-Wallach spaces, to massproduce harmonic almost contact metric structures.
SN - 0926-2245
SN - 1872-6984
ER -