Length multiplicities of hyperbolic 3-manifolds

1998/12/11 by Joseph D. Masters, Masters, Joseph D.
Mathematics · #22E40(secondary) #57M50(primary) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #math.GT

paper · pdf · doi:10.48550/arxiv.math/9812069

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

openalex publication_date 1998/12/11 · arxiv created 1999/08/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let M = H³/Γ be a hyperbolic 3-manifold, where Γ is a non-elementary Kleinian group. It is shown that the length spectrum of M is of unbounded multiplicity.

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