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Topology of automorphism
groups of parabolic geometries
Charles Frances and Karin Melnick |
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Geometry & Topology 23 (2019) 135–169
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Abstract |
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We prove for the automorphism group of an arbitrary parabolic geometry that the – and –topologies coincide, and the group admits the structure of a Lie group in this topology. We further show that this automorphism group is closed in the homeomorphism group of the underlying manifold. |
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Keywords
transformation groups, parabolic geometries, conformal
geometry, projective geometry, CR geometry
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Mathematical Subject Classification 2010
Primary: 53C10, 57S05, 57S20
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References |
Publication
Received: 6 April 2017
Revised: 19 February 2018
Accepted: 28 June 2018
Published: 5 March 2019
Proposed: Jean-Pierre Otal
Seconded: Benson Farb, Anna Wienhard
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Authors |
| Charles Frances | |
| Institut de Recherche Mathématique
Avancée Université de Strasbourg Strasbourg France |
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| Karin Melnick | |
| Department of Mathematics University of Maryland College Park, MD United States |
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