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Almost homogeneous manifolds with boundary
Author(s):
Benoît
Kloeckner
Journal:
Trans. Amer. Math. Soc.
361
(2009),
6729-6740.
MSC (2000):
Primary 53C30;
Secondary 53C35
Posted:
July 17, 2009
MathSciNet review:
2538611
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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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Additional Information:
Benoît
Kloeckner
Affiliation:
Institut Fourier, Université de Grenoble I, UMR 5582 CNRS-UJF, 38402 Saint- Martin-d'Hères, France
Email:
bkloeckn@ujf-grenoble.fr
DOI:
10.1090/S0002-9947-09-04907-1
PII:
S 0002-9947(09)04907-1
Received by editor(s):
April 15, 2008
Posted:
July 17, 2009
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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