Equivariant isospectrality and Sunada's Method

Details Equivariant isospectrality and Sunada's Method Equivariant isospectrality and Sunada's Method

2006-08-22

arxiv.org/abs/math/0608557v2

Mathematics

Differential Geometry

9 pages, shortened and rewritten with a new title and abstract, slight change in emphasis, to appear in Arch. Math. (Basel), p

Scientific paper

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 $M_2 \to M$ where $M_1$ and $M_2$ are isospectral manifolds.

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