Remarks on the horocycle flows for foliations by hyperbolic surfaces

2014/12/29 by Shigenori Matsumoto, Matsumoto, Shigenori
Mathematics · #53C12 #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1412.8242

openalex publication_date 2014/12/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the horocycle flow associated with a foliation on a compact manifold by hyperbolic surfaces is minimal under certain conditions.

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