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

Gorodnik, Alexander; Spatzier, Ralf (2018). Smooth factors of projective actions of higher-rank lattices and rigidity. Geometry & Topology, 22(2):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.

## 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.

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Item Type: Journal Article, not_refereed, original work 07 Faculty of Science > Institute of Mathematics 510 Mathematics Physical Sciences > Geometry and Topology English 16 January 2018 15 Nov 2018 14:01 15 Apr 2020 21:44 Mathematical Sciences Publishers 1364-0380 Green Publisher DOI. An embargo period may apply. https://doi.org/10.2140/gt.2018.22.1227

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