On length-holonomy spectrum of three dimensional compact hyperbolic manifolds

2019/06/05 by Chandrasheel Bhagwat, Bhagwat, Chandrasheel, Ayesha Fatima +1
Mathematics · #Advanced Algebra and Geometry #Analytic Number Theory Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Spectral Theory (math.SP)

paper · pdf · doi:10.48550/arxiv.1906.01835

openalex publication_date 2019/06/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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