Smooth factors of projective actions of higher-rank lattices and rigidity

Gorodnik, Alexander; Spatzier, Ralf

doi:10.2140/gt.2018.22.1227

Download this article
	For screen
	For printing

Recent Issues

The Journal

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

DOI: 10.2140/gt.2018.22.1227

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 $C^{\infty}$ –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

Volume 22, issue 2 (2018)