Cartan connections and path structures with large automorphisms groups
Differential Geometry
2023-03-09 v2 Dynamical Systems
Abstract
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.
Keywords
Cite
@article{arxiv.2105.02090,
title = {Cartan connections and path structures with large automorphisms groups},
author = {Elisha Falbel and Martin Mion-Mouton and Jose Miguel Veloso},
journal= {arXiv preprint arXiv:2105.02090},
year = {2023}
}
Comments
International Journal of Mathematics, 2021. In this (unpublished) improved version, we withdraw the hypothesis of a dense orbit of the automorphism group in the main Theorem 1.1 when the structure is class C^3