English

On length-holonomy spectrum of three dimensional compact hyperbolic manifolds

Differential Geometry 2019-06-06 v1 Spectral Theory

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.

Keywords

Cite

@article{arxiv.1906.01835,
  title  = {On length-holonomy spectrum of three dimensional compact hyperbolic manifolds},
  author = {Chandrasheel Bhagwat and Ayesha Fatima},
  journal= {arXiv preprint arXiv:1906.01835},
  year   = {2019}
}
R2 v1 2026-06-23T09:42:39.665Z