On the construction of minimal foliations by hyperbolic surfaces on 3-manifolds
Fernando Alcalde Cuesta, Fran\c{c}oise Dal'Bo, Matilde Mart\'inez,, Alberto Verjovsky
TL;DR
This paper presents various methods for constructing minimal foliations by hyperbolic surfaces on closed 3-manifolds and explores the properties of these examples.
Contribution
It introduces new techniques for constructing minimal hyperbolic foliations on 3-manifolds and analyzes their characteristics.
Findings
Multiple methods for constructing minimal hyperbolic foliations
Examples exhibit diverse properties of such foliations
Enhanced understanding of foliation structures on 3-manifolds
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.
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Taxonomy
TopicsGeometric and Algebraic Topology · Mathematical Dynamics and Fractals · Quantum chaos and dynamical systems