Local audibility of a hyperbolic metric |
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Authors: | Vladimir A Sharafutdinov |
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Institution: | 1.Sobolev Institute of Mathematics,Novosibirsk,Russia |
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Abstract: | A Riemannian metric g on a compact boundaryless manifold is said to be locally audible if the following statement is true for every metric g′ sufficiently close to g: if g and g′ are isospectral then they are isometric. The local audibility is proved of a metric of constant negative sectional curvature. |
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