Volume 23, issue 1 (2019)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 23, 1 issue

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Subscriptions
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Ethics Statement
Author Index
To Appear
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Other MSP Journals
Topology of automorphism groups of parabolic geometries

Charles Frances and Karin Melnick

Geometry & Topology 23 (2019) 135–169
Abstract

We prove for the automorphism group of an arbitrary parabolic geometry that the C0– and C–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.

Keywords
transformation groups, parabolic geometries, conformal geometry, projective geometry, CR geometry
Mathematical Subject Classification 2010
Primary: 53C10, 57S05, 57S20
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
Authors
Charles Frances
Institut de Recherche Mathématique Avancée
Université de Strasbourg
Strasbourg
France
Karin Melnick
Department of Mathematics
University of Maryland
College Park, MD
United States