Length multiplicities of hyperbolic 3-manifolds

Joseph D. Masters

Length multiplicities of hyperbolic 3-manifolds

Geometric Topology 2007-05-23 v2

Authors: Joseph D. Masters

Abstract

Let $M = H^3/\Gamma$ be a hyperbolic 3-manifold, where $\Gamma$ is a non-elementary Kleinian group. It is shown that the length spectrum of $M$ is of unbounded multiplicity.

Keywords

hyperbolic 3-manifolds manifolds hyperbolic geometry

Cite

@article{arxiv.math/9812069,
  title  = {Length multiplicities of hyperbolic 3-manifolds},
  author = {Joseph D. Masters},
  journal= {arXiv preprint arXiv:math/9812069},
  year   = {2007}
}

Comments

20 pages, no figures. Proof of Lemma 6.3 has been simplified and generalized. More details added to proof of Lemma 2.1. To appear in Israel Journal of Mathematics

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