# 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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