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math.DG2016
Lens rigidity with partial data in the presence of a magnetic field
Hanming Zhou
In this paper we consider the lens rigidity problem with partial data for conformal metrics in the presence of a magnetic field on a compact manifold of dimension with bou…
math.DG2016
Journey to the Center of the Earth
Gunther Uhlmann, Hanming Zhou
We survey some results on travel time tomography. The question is whether we can determine the anisotropic index of refraction of a medium by measuring the travel times of waves go…
math.DG2015
Injectivity and stability for a generic class of generalized Radon transforms
Andrew Homan, Hanming Zhou
Let (M,g) be an analytic, compact, Riemannian manifold with boundary, of dimension n >= 2. We study a class of generalized Radon transforms, integrating over a family of hypersurfa…