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

Gorodnik, Alexander¹ ; Spatzier, Ralf²

¹ Department of Mathematics, University of Bristol, Bristol, United Kingdom
² Department of Mathematics, University of Michigan, Ann Arbor, MI, United States

Geometry & topology, Tome 22 (2018) no. 2, pp. 1227-1266.

Résumé

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.

Détail

DOI : 10.2140/gt.2018.22.1227

Classification : 37C15, 37C85
Keywords: projective actions, lattices, higher rank, rigidity, factor theorem

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