Inverse problems for Einstein manifolds

dc.creatorGuillarmou, Colin
dc.creatorBarreto, Antonio Sa
dc.date2007-10-05
dc.date2008-10-06
dc.date.accessioned2026-07-07T10:07:17Z
dc.date.available2026-07-07T10:07:17Z
dc.descriptionWe show that the Dirichlet-to-Neumann operator of the Laplacian on an open subset of the boundary of a connected compact Einstein manifold with boundary determines the manifold up to isometries. Similarly, for connected conformally compact Einstein manifolds of even dimension $n+1$, we prove that the scattering matrix at energy $n$ on an open subset of its boundary determines the manifold up to isometries.
dc.descriptionCorrected version
dc.identifierhttps://arxiv.org/abs/0710.1136
dc.identifierhttp://arxiv.org/abs/0710.1136
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170582
dc.subjectDifferential Geometry
dc.subject35R30
dc.titleInverse problems for Einstein manifolds
dc.typetext

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