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}
}
• Published 1992
• Mathematics
• Inventiones mathematicae
302 Citations
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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
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© 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
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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