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One cannot hear the shape of a drum
Author(s):
Carolyn
Gordon;
David L.
Webb;
Scott
Wolpert
Journal:
Bull. Amer. Math. Soc.
27
(1992),
134-138.
MSC (2000):
Primary 58G25;
Secondary 35R30
MathSciNet review:
1136137
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Abstract:
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 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.
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Additional Information:
DOI:
10.1090/S0273-0979-1992-00289-6
PII:
S 0273-0979(1992)00289-6
Copyright of article:
Copyright
1992,
American Mathematical Society
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