Linear cocycles over hyperbolic systems and criteria of conformality

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Abstract

In this paper We study hölder-continuous linear cocycles over transitive anosov diffeomorphisms. under various conditions of relative pinching we establish properties including existence and continuity of measurable invariant subbundles and conformal structures. we use these results to obtain criteria for cocycles to be isometric or conformal in terms of their periodic data. we show that if the return maps at the periodic points are In a sense Conformal or isometric then so is the cocycle itself with respect to a hölder-continuous riemannian metric.

Original languageEnglish (US)
Pages (from-to)419-441
Number of pages23
JournalJournal of Modern Dynamics
Volume4
Issue number3
DOIs
StatePublished - Jul 1 2010

All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics

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