Mathematics – Differential Geometry
Scientific paper
2006-01-09
Mathematics
Differential Geometry
revised version
Scientific paper
We study the geodesic X-ray transform $I_\Gamma$ of tensor fields on a compact Riemannian manifold $M$ with non-necessarily convex boundary and with possible conjugate points. We assume that $I_\Gamma$ is known for geodesics belonging to an open set $\Gamma$ 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 $(x,\xi)\in T^*M$, there is a geodesic without conjugate points in $\Gamma$ through $x$ normal to $\xi$.
Stefanov Plamen
Uhlmann Gunther
No associations
LandOfFree
Integral geometry of tensor fields on a class of non-simple Riemannian manifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Integral geometry of tensor fields on a class of non-simple Riemannian manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Integral geometry of tensor fields on a class of non-simple Riemannian manifolds will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-683989