Smooth Factors of Projective Actions of Higher Rank Lattices and Rigidity

Published 22 Sep 2016 in math.DS | (1609.07178v1)

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.

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