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arxiv: 1906.01835 · v1 · pith:3F2C6EFVnew · submitted 2019-06-05 · 🧮 math.DG · math.SP

On length-holonomy spectrum of three dimensional compact hyperbolic manifolds

classification 🧮 math.DG math.SP
keywords compacthyperbolicdimensionallength-holonomyspacesspectrumthreeanalytic
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In this paper we establish a strong multiplicity one type property for the length-holonomy spectrum for the three dimensional compact hyperbolic spaces. We use the analytic properties of Selberg-Gangolli-Wakayama zeta functions associated to compact hyperbolic spaces.

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