One cannot hear the shape of a drum

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dc.creatorGordon, Carolyn
dc.creatorWebb, David L.
dc.creatorWolpert, Scott
dc.date1992-07-01
dc.date.accessioned2026-07-07T09:14:48Z
dc.date.available2026-07-07T09:14:48Z
dc.descriptionWe 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 the shape of a drum?'' In order to construct simply connected examples, we exploit the observation that an orbifold whose underlying space is a simply connected manifold with boundary need not be simply connected as an orbifold.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/math/9207215
dc.identifierhttp://arxiv.org/abs/math/9207215
dc.identifierBull. Amer. Math. Soc. (N.S.) 27 (1992) 134-138
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152806
dc.subjectDifferential Geometry
dc.titleOne cannot hear the shape of a drum
dc.typetext

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