New partially hyperbolic dynamical systems. I

DOI10.1007/s11511-016-0135-3zbMath1357.37048arXiv1407.7768OpenAlexW2215710751WikidataQ125592442 ScholiaQ125592442MaRDI QIDQ265881

Andrey Gogolev, Pedro Ontaneda, Federico Rodriguez Hertz

Publication date: 13 April 2016

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.7768

zbMATH Keywords

Anosov flowspartially hyperbolic diffeomorphismssurgery constructions

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Partially hyperbolic systems and dominated splittings (37D30)

Related Items (7)

On bundles that admit fiberwise hyperbolic dynamics ⋮ \(C^r\)-closing lemma for partially hyperbolic diffeomorphisms with 1D-center bundle ⋮ Structural stability for fibrewise Anosov diffeomorphisms on principal torus bundles ⋮ Constructing center-stable tori ⋮ Partial hyperbolicity and classification: a survey ⋮ Surgery for partially hyperbolic dynamical systems. I: Blow-ups of invariant submanifolds ⋮ Local Lyapunov spectrum rigidity of nilmanifold automorphisms

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