Smooth Factors of Projective Actions of Higher Rank Lattices and Rigidity

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 existence of a single differentiable sink, we show that these factors are $C^{\infty }$-conjugate to the standard actions on flag manifolds.

References in corpus (3)

• Groups acting on manifolds: around the Zimmer program
• Global rigidity of higher rank Anosov algebraic actions
• Invariant measures and measurable projective factors for actions of higher-rank lattices on manifolds