most citedStable determination of generic simple metrics from the hyperbolic Dirichlet-to-Neumann map

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math.DG2004

Boundary rigidity and stability for generic simple metrics

Plamen Stefanov, Gunther Uhlmann

We study the boundary rigidity problem for compact Riemannian manifolds with boundary : is the Riemannian metric uniquely determined, up to an action of diffeomorphism f…