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• W2952071837 abstract "We study an inverse problem for a non-compact Riemannian manifold whose ends have the following properties : On each end, the Riemannian metric is assumed to be a short-range perturbation of the metric of the form $(dy)^2 + h(x,dx)$, $h(x,dx)$ being the metric of some compact manifold of codimension 1. Moreover one end is exactly cylindrical, i.e. the metric is equal to $(dy)^2 + h(x,dx)$. Given two such manifolds having the same scattering matrix on that exactly cylindrical end for all energy, we show that these two manifolds are isometric." @default.
• W2952071837 created "2019-06-27" @default.
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• W2952071837 date "2009-05-11" @default.
• W2952071837 modified "2023-09-27" @default.
• W2952071837 title "Forward and inverse scattering on manifolds with asymptotically cylindrical ends" @default.
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• W2952071837 hasPublicationYear "2009" @default.
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