Minimal Fibrations of Hyperbolic 3-manifolds

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.

Cited by in corpus (3)

• Minimal Surfaces in Hyperbolic 3-manifolds
• Non-Existence of Geometric Minimal Foliations in Hyperbolic Three-Manifolds
• Minimal surfaces near short geodesics in hyperbolic $3$-manifolds