Inverse problems for Einstein manifolds
| dc.creator | Guillarmou, Colin | |
| dc.creator | Barreto, Antonio Sa | |
| dc.date | 2007-10-05 | |
| dc.date | 2008-10-06 | |
| dc.date.accessioned | 2026-07-07T10:07:17Z | |
| dc.date.available | 2026-07-07T10:07:17Z | |
| dc.description | We 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.description | Corrected version | |
| dc.identifier | https://arxiv.org/abs/0710.1136 | |
| dc.identifier | http://arxiv.org/abs/0710.1136 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/170582 | |
| dc.subject | Differential Geometry | |
| dc.subject | 35R30 | |
| dc.title | Inverse problems for Einstein manifolds | |
| dc.type | text |