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• W2950911237 abstract "To what extent does the eigenvalue spectrum of the Laplace-Beltrami operator on a compact Riemannian manifold determine the geometry of the manifold? We give examples of isospectral manifolds with different local geometry including continuous families of isospectral negatively curved manifolds with boundary as well as various pairs of manifolds. The latter illustrate that the spectrum does not determine whether a manifold with boundary has negative curvature, whether it has constant Ricci curvature, and whether it has parallel curvature tensor, and the spectrum does not determine whether a closed manifold has constant scalar curvature." @default.
• W2950911237 created "2019-06-27" @default.
• W2950911237 creator A5000608242 @default.
• W2950911237 creator A5006155878 @default.
• W2950911237 date "2000-03-01" @default.
• W2950911237 modified "2023-09-29" @default.
• W2950911237 title "Isospectral deformations of negatively curved Riemannian manifolds with boundary which are not locally isometric" @default.
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