Livšic's theorem for semisimple Lie groups

DOI10.1017/S0143385701001729zbMath0999.37017WikidataQ115336321 ScholiaQ115336321MaRDI QIDQ2757016

Mark Pollicott, Matthew Nicol

Publication date: 5 August 2002

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

semisimple Lie groupLivšic theoremcocycles of transitive Anosov diffeomorphisms

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

Related Items (6)

Smooth Livšic regularity for piecewise expanding maps ⋮ Livšic theorem for matrix cocycles ⋮ Livšic theorem for matrix cocycles over nonuniformly hyperbolic systems ⋮ On the cohomology class of fiber-bunched cocycles on semi simple Lie groups ⋮ Livšic theorems for non-commutative groups including diffeomorphism groups and results on the existence of conformal structures for Anosov systems ⋮ Cohomology of dominated diffeomorphism-valued cocycles over hyperbolic systems

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