Year: 2026
Type: article
Abstract: 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 mass-produce harmonic almost contact metric structures.
Authors: M. Benyounes, T. Levasseur, E. Loubeau, E. Vergara-Diaz
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,740
Funders: Ministerul Cercetării, Inovării şi Digitalizării, Agence Nationale de la Recherche, Ministère de l'Education Nationale, de l'Enseignement Superieur et de la Recherche, Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii, Ministerul Cercetării şi Inovării, Colegiul Consultativ pentru Cercetare-Dezvoltare şi Inovare, H2020 Marie Skłodowska-Curie Actions, FP7 People: Marie-Curie Actions
Awards: G3237652170, G6132903230
OpenAlex ID: W4387799591