Classification of partially hyperbolic diffeomorphisms in 3-manifolds with solvable fundamental group
Year: 2015
Type: article
Abstract: A classification of partially hyperbolic diffeomorphisms on three-dimensional manifolds with (virtually) solvable fundamental group is obtained. If such a diffeomorphism does not admit a periodic attracting or repelling two-dimensional torus, then it is dynamically coherent and leaf conjugate to a known algebraic example. This classification includes manifolds which support Anosov flows, and it confirms conjectures regarding dynamical coherence and leaf conjugacy in the specific case of solvable fundamental group.
Source: Journal of Topology
Authors: Andy Hammerlindl, Rafael Potrie
Institutions: Monash University, Universidad de la República de Uruguay
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2158961337