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

Alexander Gorodnik; Ralf Spatzier

doi:10.2140/gt.2018.22.1227

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

Alexander Gorodnik, Ralf Spatzier

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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^∞-conjugate to the standard actions on flag manifolds.

Original language	English
Pages (from-to)	1227-1266
Number of pages	40
Journal	Geometry and Topology
Volume	22
Issue number	2
Early online date	16 Jan 2018
DOIs	https://doi.org/10.2140/gt.2018.22.1227
Publication status	Published - 2018

Keywords

Factor theorem
Higher rank
Lattices
Projective actions
Rigidity

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10.2140/gt.2018.22.1227

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This is the accepted author manuscript (AAM). The final published version (version of record) is available online via MSP at https://doi.org/10.2140/gt.2018.22.1227 . Please refer to any applicable terms of use of the publisher.
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https://arxiv.org/abs/1609.07178

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title = "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 the existence of a single differentiable sink, we show that these factors are C∞-conjugate to the standard actions on flag manifolds.",

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author = "Alexander Gorodnik and Ralf Spatzier",

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AU - Gorodnik, Alexander

AU - Spatzier, Ralf

PY - 2018

Y1 - 2018

N2 - 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∞-conjugate to the standard actions on flag manifolds.

AB - 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∞-conjugate to the standard actions on flag manifolds.

KW - Factor theorem

KW - Higher rank

KW - Lattices

KW - Projective actions

KW - Rigidity

UR - https://www.scopus.com/pages/publications/85041044573

UR - https://arxiv.org/abs/1609.07178

U2 - 10.2140/gt.2018.22.1227

DO - 10.2140/gt.2018.22.1227

M3 - Article (Academic Journal)

AN - SCOPUS:85041044573

SN - 1465-3060

VL - 22

SP - 1227

EP - 1266

JO - Geometry and Topology

JF - Geometry and Topology

IS - 2

ER -

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

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Keywords

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