Non-Existence of Geometric Minimal Foliations in Hyperbolic Three-Manifolds

Abstract

In this paper we show that every three-dimensional closed hyperbolic manifold admits no locally geometric $1$-parameter family of closed minimal surfaces.

arXiv commentCommentarii Mathematici Helvetici, to appear

References in corpus (2)

• Problems around 3-manifolds
• Minimal Fibrations of Hyperbolic 3-manifolds

Cited by in corpus (1)

• Harmonic Forms, Minimal Surfaces and Norms on Cohomology of Hyperbolic $3$-Manifolds