Continuous Families of Isophasal Scattering Manifolds

Details Continuous Families of Isophasal Scattering Manifolds Continuous Families of Isophasal Scattering Manifolds

2002-11-04

arxiv.org/abs/math/0211039v1

Mathematics

Differential Geometry

19 pages

Scientific paper

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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