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

Alexander Gorodnik, Ralf Spatzier

Research output: Contribution to journalArticle (Academic Journal)peer-review

1 Citation (Scopus)
98 Downloads (Pure)

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 languageEnglish
Pages (from-to)1227-1266
Number of pages40
JournalGeometry and Topology
Volume22
Issue number2
Early online date16 Jan 2018
DOIs
Publication statusPublished - 2018

Keywords

  • Factor theorem
  • Higher rank
  • Lattices
  • Projective actions
  • Rigidity

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