Minimal Fibrations of Hyperbolic 3-manifolds

2015/12/14 by Hass, Joel
#53A10 #57M50 #57R22 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1512.04145

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.

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