Two-orbit manifolds with boundary

Benoit Kloeckner (1)

1 IF - Institut Fourier

Let $\rho_0$ be an action of a Lie group on a manifold with boundary that is transitive on the interior and on the boundary. 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.

Mots clés: Lie group actions; differentiable compactifications; symmetric spaces

Domaines: Géométrie différentielle [math.DG]

Benoit Kloeckner. Two-orbit manifolds with boundary. 2008. ⟨hal-00273455v1⟩