#### Volume 22, issue 2 (2018)

 Recent Issues
 The Journal About the Journal Editorial Board Subscriptions Editorial Interests Editorial Procedure Submission Guidelines Submission Page Ethics Statement ISSN (electronic): 1364-0380 ISSN (print): 1465-3060 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 ${C}^{\infty }$–conjugate to the standard actions on flag manifolds.

##### Keywords
projective actions, lattices, higher rank, rigidity, factor theorem
##### Mathematical Subject Classification 2010
Primary: 37C15, 37C85