Isoscattering deformations for complete manifolds of negative curvature |
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Authors: | Peter Perry Dorothee Schueth |
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Institution: | (1) Department of Mathematics, University of Kentucky, 40506-0027 Lexington, Kentucky;(2) Inst. f. Math., HU Berlin, 10099 Berlin, Germany |
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Abstract: | We construct continuous families of nonisometric metrics on simply connected manifolds of dimension n ≥ 9which have the same scattering phase, the same resolvent resonances, and strictly negative sectional curvatures. This situation
contrasts sharply with the case of compact manifolds of negative curvature, where Guillemin/Kazhdan, Min-Oo, and Croke/Sharafutdinov
showed that there are no nontrivial isospectral deformations of such metrics. |
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Keywords: | Math Subject Classifications" target="_blank">Math Subject Classifications 58J53 58J50 |
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