Loop space and codimension one Anosov diffeomorphisms

DOI10.1007/s00574-015-0096-8zbMath1353.37069OpenAlexW2279609877MaRDI QIDQ889891

Miguel Paternain

Publication date: 9 November 2015

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-015-0096-8

zbMATH Keywords

loop spaceAnosov diffeomorphism

Mathematics Subject Classification ID

Loop spaces (55P35) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Cites Work

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• Holomorphic Anosov systems
• A simple proof of the Franks–Newhouse theorem on codimension-one Anosov diffeomorphisms
• The principal loop-bundle and dynamical systems
• A curve in the unstable foliation of an Anosov diffeomorphism with globally defined holonomy
• Généralisation du groupe fondamental
• Endomorphisms of Compact Differentiable Manifolds
• Differentiable dynamical systems
• On Codimension One Anosov Diffeomorphisms
• There are No New Anosov Diffeomorphisms on Tori
• Groups of loops and hoops

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