Geometry and Rank of Fibered Hyperbolic 3-Manifolds

Details Geometry and Rank of Fibered Hyperbolic 3-Manifolds Geometry and Rank of Fibered Hyperbolic 3-Manifolds

2008-03-08

arxiv.org/abs/0803.1253v1

Mathematics

Metric Geometry

Scientific paper

Assume that M is a closed hyperbolic 3-manifold fibering over the circle with
fiber a closed orientable surface of genus g. We show that if M has large
diameter and its injectivity radius is bounded below, then the rank of the
fundamental group of M is 2g+1.

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