Almost homogeneous manifolds with boundary
arXiv:0804.2360 · doi:10.1090/S0002-9947-09-04907-1
Abstract
Let $Ï_0$ 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 $Ï_0$, 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.
12 pages; v2: the hypothesis that the action is transitive on the boundary is dropped, hence the change of title