Equidistribution of holonomy in homology classes for Anosov flows

DOI10.1007/s00209-017-2000-2zbMath1402.37037OpenAlexW2766672834WikidataQ59612481 ScholiaQ59612481MaRDI QIDQ1668462

Richard Sharp

Publication date: 28 August 2018

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-017-2000-2

zbMATH Keywords

homologyholonomycompact Lie grouptransfer operatorAnosov flowprime closed orbits

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Periodic orbits of vector fields and flows (37C27) Dynamical systems with hyperbolic orbits and sets (37D05)

Cites Work

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• Closed orbits in homology classes
• On the ergodicity of frame flows
• The topology of group extensions of C systems
• Topological transitivity of one class of dynamical systems and flows of frames on manifolds of negative curvature
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• Equidistribution of holonomy about closed geodesics
• Closed geodesics and holonomies for Kleinian manifolds
• The Chebotarov theorem for Galois coverings of Axiom A flows
• Closed orbits in homology classes for Anosov flows
• Equidistribution of holonomy restricted to a homology class about closed geodesics
• Symbolic Dynamics for Hyperbolic Flows
• Anosov Flows
• Asymptotic expansions for closed orbits in homology classes.

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