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arXiv · 2105.02090

Cartan connections and path structures with large automorphisms groups

Elisha Falbel·Martin Mion-Mouton·Jose Miguel Veloso
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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.

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Elisha Falbel, Martin Mion-Mouton, Jose Miguel Veloso. 2021-05-05. Cartan connections and path structures with large automorphisms groups. https://doi.org/10.1142/s0129167x21400164

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