A Ferrand-Obata theorem for rank one parabolic geometries
Differential Geometry
2007-05-23 v1
Abstract
The 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.
Keywords
Cite
@article{arxiv.math/0608537,
title = {A Ferrand-Obata theorem for rank one parabolic geometries},
author = {Charles Frances},
journal= {arXiv preprint arXiv:math/0608537},
year = {2007}
}
Comments
34 pages