Global rigidity results for lattice actions on tori and new examples of volume-preserving actions

A. Katok, J. Lewis

Research output: Contribution to journalArticle

34 Scopus citations

Abstract

Any action of a finite index subgroup in SL(n, ℤ), n ≥ 4 on the n-dimensional torus which has a finite orbit and contains an Anosov element which splits as a direct product is smoothly conjugate to an affine action. We also construct first examples of real-analytic volume-preserving actions of SL(n, ℤ) and other higher-rank lattices on compact manifolds which are not conjugate (even topologically) to algebraic models.

Original languageEnglish (US)
Pages (from-to)253-280
Number of pages28
JournalIsrael Journal of Mathematics
Volume93
DOIs
StatePublished - Jan 1 1996

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Global rigidity results for lattice actions on tori and new examples of volume-preserving actions'. Together they form a unique fingerprint.

  • Cite this