Cartan connections and path structures with large automorphisms groups - Archive ouverte HAL
Article Dans Une Revue International Journal of Mathematics Année : 2021

Cartan connections and path structures with large automorphisms groups

Résumé

We classify compact manifolds of dimension three equipped with a path structure and a fixed contact form (which we refer to as a strict path structure) under the hypothesis that their automorphism group is non-compact. We use a Cartan connection associated to the structure and show that its curvature is constant.
Fichier principal
Vignette du fichier
strictpathstructures-2.1-m.pdf (290.54 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03214060 , version 1 (05-05-2021)
hal-03214060 , version 2 (02-03-2023)

Identifiants

Citer

Elisha Falbel, Martin Mion-Mouton, Jose Miguel Veloso. Cartan connections and path structures with large automorphisms groups. International Journal of Mathematics, 2021, ⟨10.1142/S0129167X21400164⟩. ⟨hal-03214060v1⟩
148 Consultations
271 Téléchargements

Altmetric

Partager

More