Almost homogeneous manifolds with boundary

Kloeckner, Benoît

doi:10.1090/S0002-9947-09-04907-1

Almost homogeneous manifolds with boundary
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Trans. Amer. Math. Soc. 361 (2009), 6729-6740 Request permission

Abstract:

We study differentiable actions of a Lie group on a manifold with boundary that are transitive on the interior. Under an algebraic condition, there are infinitely many actions that are topologically, but not differentiably conjugate to a given one. This result applies in particular to the differentiable compactifications of non-compact rank one symmetric spaces, which we classify.

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