English

Minimal Fibrations of Hyperbolic 3-manifolds

Differential Geometry 2025-11-18 v2 Geometric Topology

Abstract

There are hyperbolic 3-manifolds that fiber over the circle but that do not admit fibrations by minimal surfaces. Furthermore these manifolds do not admit fibrations by surfaces that are even approximately minimal.

Keywords

Cite

@article{arxiv.1512.04145,
  title  = {Minimal Fibrations of Hyperbolic 3-manifolds},
  author = {Joel Hass},
  journal= {arXiv preprint arXiv:1512.04145},
  year   = {2025}
}