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arXiv · 1511.04471

Partial hyperbolicity and classification: a survey

Andy Hammerlindl·Rafael Potrie
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Abstract

This paper surveys recent results on classifying partially hyperbolic diffeomorphisms. This includes the construction of branching foliations and leaf conjugacies on three-dimensional manifolds with solvable fundamental group. Classification results in higher-dimensional settings are also discussed. The paper concludes with an overview of the construction of new partially hyperbolic examples derived from Anosov flows.

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Andy Hammerlindl, Rafael Potrie. 2015-11-13. Partial hyperbolicity and classification: a survey. https://doi.org/10.1017/etds.2016.50

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