Bounded domains which are isospectral but not congruent
نویسندگان
چکیده
منابع مشابه
Orbifold Lens Spaces That Are Isospectral but Not Isometric
We answer Mark Kac’s famous question [K], “can one hear the shape of a drum?” in the negative for orbifolds that are spherical space forms. This is done by extending the techniques developed by A. Ikeda on Lens Spaces to the orbifold setting. Several results are proved to show that with certain restrictions on the dimensionalities of orbifold Lens spaces we can obtain infinitely many pairs of i...
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Any isospectral family of two-dimensional Euclidean domains is shown to be compact in the C(infinity) topology. Previously Melrose, using heat invariants, was able to establish the C(infinity) compactness of the curvature of the boundary curves. The additional ingredient used in this paper to obtain the compactness of the domains is the behavior of the determinant of the Laplacian near the boun...
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ژورنال
عنوان ژورنال: Annales scientifiques de l'École normale supérieure
سال: 1982
ISSN: 0012-9593,1873-2151
DOI: 10.24033/asens.1433