Volume 22, issue 2 (2018)

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

Volume 28
Issue 5, 1995–2482
Issue 4, 1501–1993
Issue 3, 1005–1499
Issue 2, 497–1003
Issue 1, 1–496

Volume 27, 9 issues

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

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
Editorial Board
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1364-0380 (online)
ISSN 1465-3060 (print)
Author Index
To Appear
 
Other MSP Journals
Smooth factors of projective actions of higher-rank lattices and rigidity

Alexander Gorodnik and Ralf Spatzier

Geometry & Topology 22 (2018) 1227–1266
Abstract

We study smooth factors of the standard actions of lattices in higher-rank semisimple Lie groups on flag manifolds. Under a mild condition on the existence of a single differentiable sink, we show that these factors are C–conjugate to the standard actions on flag manifolds.

Keywords
projective actions, lattices, higher rank, rigidity, factor theorem
Mathematical Subject Classification 2010
Primary: 37C15, 37C85
References
Publication
Received: 22 September 2016
Accepted: 15 May 2017
Published: 16 January 2018
Proposed: Benson Farb
Seconded: Anna Wienhard, Leonid Polterovich
Authors
Alexander Gorodnik
Department of Mathematics
University of Bristol
Bristol
United Kingdom
Ralf Spatzier
Department of Mathematics
University of Michigan
Ann Arbor, MI
United States