Horocycle flows for laminations by hyperbolic Riemann surfaces and Hedlund's theorem

DOI10.3934/jmd.2016.10.113zbMath1379.37063arXiv0711.2307OpenAlexW2963175561MaRDI QIDQ316987

Matilde Martínez, Alberto Verjovsky, Shigenori Matsumoto

Publication date: 30 September 2016

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.2307

zbMATH Keywords

minimalityhyperbolic surfacehorocycle and geodesic flowshyperbolic lamination

Mathematics Subject Classification ID

Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Foliations in differential topology; geometric theory (57R30) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (6)

Minimality of the horocycle flow on laminations by hyperbolic surfaces with non-trivial topology ⋮ Unique ergodicity of the horocycle flow on Riemannnian foliations ⋮ Low-dimensional solenoidal manifolds ⋮ Almost \(K3\) surface contains infinitely many linear Levi-flat hypersurfaces ⋮ Remarks on the horocycle flows for foliations by hyperbolic surfaces ⋮ On the construction of minimal foliations by hyperbolic surfaces on 3-manifolds

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