Higher cohomology for abelian groups of toral automorphisms II: The partially hyperbolic case, and corrigendum

Anatole Katok, Svetlana Katok

Research output: Contribution to journalArticle

9 Scopus citations

Abstract

In this paper we extend the results of an earlier paper, which deal with a description of the smooth untwisted cohomology for ℤk-actions by hyperbolic automorphisms of a torus, to the partially hyperbolic case. Along the way we correct an error found in one of the steps in the proof for the hyperbolic case.

Original languageEnglish (US)
Pages (from-to)1909-1917
Number of pages9
JournalErgodic Theory and Dynamical Systems
Volume25
Issue number6
DOIs
StatePublished - Dec 1 2005

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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