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arxiv: 1801.00214 · v1 · pith:IE4BX5VJnew · submitted 2017-12-31 · 🧮 math.DS · math.GT

Partially hyperbolic diffeomorphisms homotopic to the identity on 3-manifolds

Thomas Barthelm\'e , Sergio Fenley , Steven Frankel , Rafael Potrie This is my paper
classification 🧮 math.DS math.GT
keywords diffeomorphismshyperbolicmanifoldspartiallyproofsannounceappearcase
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We announce some results towards the classification of partially hyperbolic diffeomorphisms on 3-manifolds, and outline the proofs in the case when the diffeomorphism is dynamically coherent. Detailed proofs are long and technical and will appear later.

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  1. Ergodicity and partial hyperbolicity on Seifert manifolds

    math.DS 2019-07 unverdicted novelty 5.0

    Conservative partially hyperbolic diffeomorphisms isotopic to the identity on Seifert 3-manifolds are ergodic.