Almost homogeneous manifolds with boundary

Details Almost homogeneous manifolds with boundary Almost homogeneous manifolds with boundary

2008-04-15

arxiv.org/abs/0804.2360v2

Transactions of the American Mathematical Society 361, 12 (2009) 6729-6740

Mathematics

Differential Geometry

12 pages; v2: the hypothesis that the action is transitive on the boundary is dropped, hence the change of title

Scientific paper

10.1090/S0002-9947-09-04907-1

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.

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