Stable Ergodicity and Frame Flows

Keith Burns*, Mark Pollicott

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


In this note we show that all diffeomorphisms close enough to the time-one map of the frame flow on certain negatively curved manifolds are ergodic. As a simple corollary we deduce that the frame flows are ergodic for all compact manifolds with curvature pinched sufficiently close to -1, thus providing results in the case of manifolds of dimension 7 or 8 which were missing from the results of Brin and Karcher.

Original languageEnglish (US)
Pages (from-to)189-210
Number of pages22
JournalGeometriae Dedicata
Issue number1
StatePublished - Apr 2003


  • Frame flow
  • Partial hyperbolicity
  • Stable ergodicity

ASJC Scopus subject areas

  • Geometry and Topology


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