most citedTwo dimensional compact simple Riemannian manifolds are boundary distance rigid

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math.AP2003★ 1 cited

Two dimensional compact simple Riemannian manifolds are boundary distance rigid

L. Pestov, G. Uhlmann

We prove that knowing the length of geodesics joining points on the boundary of a two-dimensional, compact, simple Riemannian manifold with boundary, we can determine uniquely the…