The 2-Transitive Transplantable Isospectral Drums

For Riemannian manifolds there are several examples which are isospectral but not isometric, see e.g. J. Milnor [Proc. Nat. Acad. Sci. USA 51 (1964), 542]; in the present paper, we investigate pairs of domains in R^2 which are isospectral but not congruent. All known such counter examples to M. Kac&...

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Bibliographic Details
Main Authors: Jeroen Schillewaert, Koen Thas
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2011-08-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2011.080