Stable Ergodicity and Frame Flows

Keith H Burns*, Mark Pollicott

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

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
Volume98
Issue number1
DOIs
StatePublished - Apr 1 2003

Keywords

  • Frame flow
  • Partial hyperbolicity
  • Stable ergodicity

ASJC Scopus subject areas

  • Geometry and Topology

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