A support theorem for the geodesic ray transform of symmetric tensor fields
| dc.creator | Krishnan, Venky | |
| dc.creator | Stefanov, Plamen | |
| dc.date | 2008-03-20 | |
| dc.date.accessioned | 2026-07-07T09:27:41Z | |
| dc.date.available | 2026-07-07T09:27:41Z | |
| dc.description | Let $(M,g)$ be a simple Riemannian manifold with boundary and consider the geodesic ray transform of symmetric 2-tensor fields. Let the integral of $f$ along maximal geodesics vanish on an appropriate open subset of the space of geodesics in $M$. Under the assumption that the metric $g$ is real-analytic, it is shown that there exists a vector field $v$ satisfying $f=dv$ on the set of points lying on these geodesics and $v=0$ on the intersection of this set with the boundary $\PD M$ of the manifold $M$. Using this result, a Helgason's type of a support theorem for the geodesic ray transform is proven. The approach is based on analytic microlocal techniques. | |
| dc.identifier | https://arxiv.org/abs/0803.3062 | |
| dc.identifier | http://arxiv.org/abs/0803.3062 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157192 | |
| dc.subject | Differential Geometry | |
| dc.subject | Analysis of PDEs | |
| dc.title | A support theorem for the geodesic ray transform of symmetric tensor fields | |
| dc.type | text |