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arXiv · 1307.4631

Classification of partially hyperbolic diffeomorphisms in 3-manifolds with solvable fundamental group

Andy Hammerlindl·Rafael Potrie
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Abstract

A classification of partially hyperbolic diffeomorphisms on 3-dimensional manifolds with (virtually) solvable fundamental group is obtained. If such a diffeomorphism does not admit a periodic attracting or repelling two-dimensional torus, it is dynamically coherent and leaf conjugate to a known algebraic example. This classification includes manifolds which support Anosov flows, and it confirms conjectures by Rodriguez Hertz--Rodriguez Hertz--Ures and Pujals in the specific case of solvable fundamental group.

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BibTeXRIS

Andy Hammerlindl, Rafael Potrie. 2015-02-26. Classification of partially hyperbolic diffeomorphisms in 3-manifolds with solvable fundamental group. https://doi.org/10.1112/jtopol%2Fjtv009

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