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math.DG2013★ 2 cited
Boundary and scattering rigidity problems in the presence of a magnetic field and a potential
Yernat M. Assylbekov, Hanming Zhou
In this paper, we consider a compact Riemannian manifold with boundary, endowed with a magnetic potential and a potential . For brevity, this type of systems are called $\MP…
math.DG2013★ 9 cited
The inverse problem for the local ray transform
Hanming Zhou
In this paper we consider the local X-ray transform for general flows. We extend the results on the local and global invertibility of the geodesic ray transform proved by Uhlmann a…