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      Spectra of orbifolds with cyclic fundamental groups

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          Abstract

          We give a simple geometric characterization of isospectral orbifolds covered by spheres, complex projective spaces and the quaternion projective line having cyclic fundamental group. The differential operators considered are Laplace-Beltrami operators twisted by characters of the corresponding fundamental group. To prove the characterization, we first give an explicit description of their spectra by using generating functions. We also include many isospectral examples.

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          Author and article information

          Journal
          2015-10-20
          2016-02-18
          Article
          10.1007/s10455-016-9498-0
          1510.05948
          5ac54893-1eaa-47ac-802a-39e8c43eb79b

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          History
          Custom metadata
          Primary 58J50, Secondary 58J53, 17B10
          Accepted in Annals of Global Analysis and Geometry
          math.DG math.RT math.SP

          Functional analysis,Geometry & Topology,Algebra
          Functional analysis, Geometry & Topology, Algebra

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