Almost homogeneous manifolds with boundary
Differential Geometry
2009-12-01 v2
Abstract
Let be an action of a Lie group on a manifold with boundary that is transitive on the interior. We study the set of actions that are topologically conjugate to , up to smooth or analytic change of coordinates. We show that in many cases, including the compactifications of negatively curved symmetric spaces, this set is infinite.
Cite
@article{arxiv.0804.2360,
title = {Almost homogeneous manifolds with boundary},
author = {Benoit Kloeckner},
journal= {arXiv preprint arXiv:0804.2360},
year = {2009}
}
Comments
12 pages; v2: the hypothesis that the action is transitive on the boundary is dropped, hence the change of title