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- W2268830168 abstract "We focus on the topology and dynamics of minimal sets and Levi-flats in surfaces of general type. Our method relies on the ergodic theory of Riemann surfaces laminations: we use harmonic measures and Lyapunov exponents. Our first result establishes that minimal sets have large Hausdorff dimension when a leaf is simply connected. Our second result shows that the class of Anosov Levi-flats does not occur in surfaces of general type. In particular, by using rigidity results, we obtain that Levi-flats are not virtually diffeomorphic to unitary tangent bundles of hyperbolic compact surfaces, nor to hyperbolic torus bundles." @default.
- W2268830168 created "2016-06-24" @default.
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- W2268830168 date "2012-03-28" @default.
- W2268830168 modified "2023-09-27" @default.
- W2268830168 title "Topology and dynamics of Levi-flats in surfaces of general type" @default.
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