Volume 22, issue 2 (2018)

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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