Continuous Families of Isophasal Scattering Manifolds

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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.
19 pages

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Differential Geometry, Spectral Theory, 58J50

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http://salesiana.dossiersoluciones.com/handle/123456789/65526

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0211039
 http://arxiv.org/abs/math/0211039

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arXiv