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arXiv:math/0305280 [math.AP]AbstractReferencesReviewsResources

Two dimensional compact simple Riemannian manifolds are boundary distance rigid

L. Pestov, G. Uhlmann

Published 2003-05-19Version 1

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.

Categories: math.AP, math.DG
Subjects: 35R30, 53C60
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