Isospectral plane domains and surfaces via Riemannian orbifolds

@article{Gordon1992IsospectralPD,
  title={Isospectral plane domains and surfaces via Riemannian orbifolds},
  author={Carolyn S. Gordon and David L. Webb and Scott A. Wolpert},
  journal={Inventiones mathematicae},
  year={1992},
  volume={110},
  pages={1-22}
}
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References

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Eigenvalues in Riemannian geometry
Preface. The Laplacian. The Basic Examples. Curvature. Isoperimetric Inequalities. Eigenvalues and Kinematic Measure. The Heat Kernel for Compact Manifolds. The Dirichlet Heat Kernel for RegularExpand
Isospectral surfaces of small genus
One cannot hear the shape of a drum
We use an extension of Sunada's theorem to construct a nonisometric pair of isospectral simply connected domains in the Euclidean plane, thus answering negatively Kac's question, can one hear theExpand
Transplantation et isospectralité. I
© Séminaire de Théorie spectrale et géométrie (Chambéry-Grenoble), 1990-1991, tous droits réservés. L’accès aux archives de la revue « Séminaire de Théorie spectrale et géométrie » implique l’accordExpand
Isospectral sets of conformally equivalent metrics
Il existe des varietes M a metriques conformement equivalentes g et g' telles que g soit isospectrale a g'
Variétés riemanniennes isospectrales non isométriques
On dira souvent spectre de (M,g) pour spectre de Δ g . Si φ: (M,g)→(N,h) est une isometrie, i.e. un diffeomorphisme tel que φ*h=g, on a Δ g (f○φ)=(Δ h f)○φ pour toute fonction f∈C ∞ (N). On dit que ΔExpand
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