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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
          10.1007/s10455-016-9498-0
          1510.05948
          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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

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