Integral geometry of tensor fields on a class of non-simple Riemannian manifolds
| dc.creator | Stefanov, Plamen | |
| dc.creator | Uhlmann, Gunther | |
| dc.date | 2006-01-09 | |
| dc.date | 2006-11-16 | |
| dc.date.accessioned | 2026-07-07T06:58:40Z | |
| dc.date.available | 2026-07-07T06:58:40Z | |
| dc.description | We study the geodesic X-ray transform $I_Γ$ of tensor fields on a compact Riemannian manifold $M$ with non-necessarily convex boundary and with possible conjugate points. We assume that $I_Γ$ is known for geodesics belonging to an open set $Γ$ with endpoint on the boundary. We prove generic s-injectivity and a stability estimate under some topological assumptions and under the condition that for any $(x,ξ)\in T^*M$, there is a geodesic without conjugate points in $Γ$ through $x$ normal to $ξ$. | |
| dc.description | revised version | |
| dc.identifier | https://arxiv.org/abs/math/0601178 | |
| dc.identifier | http://arxiv.org/abs/math/0601178 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107446 | |
| dc.subject | Differential Geometry | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 53C65 | |
| dc.title | Integral geometry of tensor fields on a class of non-simple Riemannian manifolds | |
| dc.type | text |