Scattering and Inverse Scattering on ACH Manifolds

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dc.creatorGuillarmou, Colin
dc.creatorBarreto, Antonio Sa
dc.date2006-05-18
dc.date.accessioned2026-07-07T07:14:24Z
dc.date.available2026-07-07T07:14:24Z
dc.descriptionWe study scattering and inverse scattering theories for asymptotically complex hyperbolic manifolds. We show the existence of the scattering operator as a meromorphic family of operators in the Heisenberg calculus on the boundary, which is a contact manifold with a pseudohermitian structure. Then we define the radiation fields as in the real asymptotically hyperbolic case, and reconstruct the scattering operator from those fields. As an application we show that the manifold, including its topology and the metric, are determined up to invariants by the scattering matrix at all energies.
dc.description38 pages
dc.identifierhttps://arxiv.org/abs/math/0605538
dc.identifierhttp://arxiv.org/abs/math/0605538
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112859
dc.subjectAnalysis of PDEs
dc.subjectSpectral Theory
dc.subject58J50; 35P25
dc.titleScattering and Inverse Scattering on ACH Manifolds
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