On the construction of minimal foliations by hyperbolic surfaces on 3-manifolds

2016/11/29 by Fernando Alcalde Cuesta, Cuesta, Fernando Alcalde, Françoise Dal’Bo +4
Mathematics · Physics and Astronomy · #57R30 #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems

paper · doi:10.48550/arxiv.1611.09833

openalex publication_date 2016/11/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe several methods to construct minimal foliations by hyperbolic surfaces on closed 3-manifolds, and discuss the properties of the examples thus obtained.

Citations

• The Geometries of 3-Manifolds
• REMARKS ON THE DYNAMICS OF THE HOROCYCLE FLOW FOR HOMOGENEOUS FOLIATIONS BY HYPERBOLIC SURFACES

Related

• Every noncompact surface is a leaf of a minimal foliation
• Leaf topology of minimal hyperbolic foliations with non simply-connected generic leaf
• Remarks on the horocycle flows for foliations by hyperbolic surfaces
• Parabolic foliations on 3-manifolds
• Foliations for Quasi-Fuchsian 3-Manifolds