Continuous Families of Isophasal Scattering Manifolds
classification
🧮 math.DG
math.SP
keywords
manifoldsscatteringcontinuousfamiliesmetricarbitrarilycompactlyconstruct
read the original 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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