Equivariant isospectrality and Sunada's Method

Craig J. Sutton

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arXiv · math/0608557

Equivariant isospectrality and Sunada's Method

Craig J. Sutton

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

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BibTeX RIS

Craig J. Sutton. 2010-07-08. Equivariant isospectrality and Sunada's Method. https://arxiv.org/abs/math/0608557

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