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Inverse scattering results for manifolds hyperbolic near infinity

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 نشر من قبل David Borthwick
 تاريخ النشر 2009
  مجال البحث
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We study the inverse resonance problem for conformally compact manifolds which are hyperbolic outside a compact set. Our results include compactness of isoresonant metrics in dimension two and of isophasal negatively curved metrics in dimension three. In dimensions four or higher we prove topological finiteness theorems under the negative curvature assumption.

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