Journal
ANNALS OF MATHEMATICS
Volume 161, Issue 2, Pages 1093-1110Publisher
Princeton Univ, Dept Mathematics
DOI: 10.4007/annals.2005.161.1093
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We prove that knowing the lengths of geodesics joining points of 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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