Classification of systems with center-stable tori

DOI10.1307/mmj/1549681298zbMath1440.37039arXiv1702.06206OpenAlexW2914436945WikidataQ128490376 ScholiaQ128490376MaRDI QIDQ2286797

Rafael Potrie, Andy Hammerlindl

Publication date: 22 January 2020

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.06206

zbMATH Keywords

partial hyperbolicityembedded torus

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Invariant manifold theory for dynamical systems (37D10) Partially hyperbolic systems and dominated splittings (37D30)

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Classification of partially hyperbolic surface endomorphisms ⋮ Dynamically incoherent surface endomorphisms ⋮ Collapsed Anosov flows and self orbit equivalences ⋮ Periodic points and measures for a class of skew-products ⋮ Uniqueness of minimal unstable lamination for discretized Anosov flows

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• Integrability on codimension one dominated splitting
• Classification of partially hyperbolic diffeomorphisms in 3-manifolds with solvable fundamental group
• Partial hyperbolicity and classification: a survey
• Leaf conjugacies on the torus
• Pointwise partial hyperbolicity in three-dimensional nilmanifolds

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