Archiv der Mathematik

, Volume 95, Issue 1, pp 75–85 | Cite as

Equivariant isospectrality and Sunada’s method

Article

Abstract

We construct pairs and continuous families of isospectral yet locally non-isometric orbifolds via an equivariant version of Sunada’s method. We also observe that if a good orbifold \({\mathcal{O}}\) and a smooth manifold M are isospectral, then they cannot admit non-trivial finite Riemannian covers \({M_1 \to\mathcal{O}}\) and M2M where M1 and M2 are isospectral manifolds.

Mathematics Subject Classification (2000)

Primary 53C20 58J50 

Keywords

Laplacian Eigenvalue spectrum Orbifolds 

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Copyright information

© Springer Basel AG 2010

Authors and Affiliations

  1. 1.Department of MathematicsDartmouth CollegeHanoverUSA

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