BIRS Workshop Lecture Videos
Partial data lens rigidity problem for magnetic systems Zhou, Hanming
In this talk we consider the lens rigidity problem with partial data for conformal metrics, in the presence of a magnetic field, on a compact manifold with boundary. We show that one can uniquely determine the conformal factor and the magnetic field near a strictly convex (with respect to magnetic geodesics) boundary point where the lens data is accessible. The local result also leads to a global lens rigidity result under some global foliation assumption.
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