%0 Journal Article %T Almost homogeneous manifolds with boundary %A Benoit Kloeckner %J Mathematics %D 2008 %I arXiv %R 10.1090/S0002-9947-09-04907-1 %X Let $\rho_0$ 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 $\rho_0$, 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. %U http://arxiv.org/abs/0804.2360v2