A Ferrand-Obata theorem for rank one parabolic geometries

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dc.creatorFrances, Charles
dc.date2006-08-22
dc.date.accessioned2026-07-07T07:22:01Z
dc.date.available2026-07-07T07:22:01Z
dc.descriptionThe aim of this article is the proof of the following result: Let M be a connected manifold endowed with a regular Cartan geometry modelled on the boundary X of the d-dimensional real (resp. complex, resp. quaternionic, resp. octonionic) hyperbolic space. If the group of automorphisms of M does not act properly on M, then M is geometrically isomorphic to: - X if M is compact. - X minus a point in the other cases.
dc.description34 pages
dc.identifierhttps://arxiv.org/abs/math/0608537
dc.identifierhttp://arxiv.org/abs/math/0608537
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115512
dc.subjectDifferential Geometry
dc.titleA Ferrand-Obata theorem for rank one parabolic geometries
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