Remarks on the dynamics of the horocycle flow for homogeneous foliations by hyperbolic surfaces

DOI10.1016/j.exmath.2015.07.006zbMath1360.37084arXiv1410.7181OpenAlexW2963532516MaRDI QIDQ900742

Fernando Alcalde Cuesta, Françoise Dal'Bo

Publication date: 22 December 2015

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.7181

zbMATH Keywords

Lie grouphorocyclic flowminimal foliation

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) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items

Horocycle flows for laminations by hyperbolic Riemann surfaces and Hedlund's theorem ⋮ Minimality of the horocycle flow on laminations by hyperbolic surfaces with non-trivial topology ⋮ Unique ergodicity of the horocycle flow on Riemannnian foliations ⋮ Weak form of equidistribution theorem for harmonic measures of foliations by hyperbolic surfaces ⋮ 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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