Invariant rigid geometric structures and expanding maps

DOI10.1017/S0143385711000010zbMath1260.37019MaRDI QIDQ2908166

Yong Fang

Publication date: 4 September 2012

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

zbMATH Keywords

Anosov diffeomorphismexpanding maplocally homogeneousgeneralized connectiontopologically completerigid geometric structureinfranil endomorphism

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Rigidity results (53C24) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (2)

A dynamical-geometric characterization of the geodesic flows of negatively curved locally symmetric spaces ⋮ Rigidity of Hamenstädt metrics of Anosov flows

Cites Work

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• Vector fields of a finite type G-structure
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• Gromov's centralizer theorem
• Parallelisms, prolongations of Lie algebras and rigid geometric structures
• Hyperbolic dynamical systems, invariant geometric structures, and rigidity
• About affine Anosov diffeomorphisms with differentiable stable and instable foliations
• Endomorphisms of Compact Differentiable Manifolds

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