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Journal Articles International Journal of Mathematics Year : 2021

Cartan connections and path structures with large automorphisms groups

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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Dates and versions

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

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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-03214060v2⟩
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