Recovering a connection from parallel transport along geodesics

Gabriel Paternain (University of Cambridge)

Frank Adams 2,

I will discuss the inverse problem of recovering a unitary connection from the parallel transport along geodesics of a compact Riemannian manifold with strictly convex boundary. It is possible to solve this geometric inverse problem in two disjoint settings: manifolds of negative curvature and manifolds of non-negative curvature. The solutions are based on a range of techniques, including energy estimates, regularity results for the transport equation associated with the geodesic flow and microlocal analysis.

PLEASE NOTE THAT THE TIME IS DIFFERENT FROM NORMAL.

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