Two dimensional compact simple Riemannian manifolds are boundary distance rigid

G. Uhlmann; L. Pestov

Two dimensional compact simple Riemannian manifolds are boundary distance rigid

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arxiv math/0305280 v1 pith:GQUGN5IB submitted 2003-05-19 math.AP math.DG

L. Pestov , G. Uhlmann This is my paper · ORCID

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keywords boundaryriemanniancompactsimpledeterminedimensionaldistancegeodesics

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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 Riemannian metric up to the natural obstruction.

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