Two dimensional compact simple Riemannian manifolds are boundary distance rigid

Details Two dimensional compact simple Riemannian manifolds are boundary distance rigid Two dimensional compact simple Riemannian manifolds are boundary distance rigid

2003-05-19

arxiv.org/abs/math/0305280v1

Mathematics

Analysis of PDEs

Scientific paper

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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