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Continuous Families of Isophasal Scattering Manifolds

Carolyn Gordon·Peter Perry
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Abstract

We construct continuous families of scattering manifolds with the same scattering phase. The manifolds are compactly supported metric perturbations of Euclidean $\mathbf{R}^{n}$ for $n\geq8$. The metric perturbation may have arbitrarily small support.

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Carolyn Gordon, Peter Perry. 2002-11-04. Continuous Families of Isophasal Scattering Manifolds. https://arxiv.org/abs/math/0211039

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