Transplantation et isospectralité II
Pierre Bérard
- Vol. 9, pp 177-188
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The article was published on 1991-01-01 and is currently open access. It has received 3 citations till now. The article focuses on the topics: Transplantation & Riemannian geometry.read more
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Transplantation et isospectralité. I
TL;DR: In this paper, the Séminaire de Théorie spectrale et géométrie implique l'accord avec les conditions générales d'utilisation (http://www.numdam.org/legal.php).
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Le spectre des longueurs des surfaces hyperboliques : un exemple de rigidité.
TL;DR: In this article, the authors give a proof of the fact that spheres with three conical points are spectrally rigid, i.e., they can be seen as having a shape similar to the shape of a drum.
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Domaines plans isospectraux à la Gordon-Webb-Wolpert : une preuve terre à terre
TL;DR: In this article, the Séminaire de Théorie spectrale et géométrie implique l'accord avec les conditions générales d'utilisation (http://www.numdam.org/legal.php).
References
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Book
Linear Representations of Finite Groups
TL;DR: Representations and characters: generalities on linear representations character theory subgroups, products, induced representation compact groups examples.
Book
Nonlinear analysis on manifolds, Monge-Ampère equations
TL;DR: In this paper, the authors introduce the concept of Riemannian geometry and present a general framework for the analysis of differential geometry with respect to differentially differentiable geometry.
Journal ArticleDOI
One cannot hear the shape of a drum
TL;DR: In this paper, Sunada's theorem was used to construct a pair of isospectral simply connected domains in the Euclidean plane, thus answering negatively Kac's question, can one hear the shape of a drum?
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