Geodesic
Two dimensional compact simple Riemannian manifolds are boundary distance rigid
Leonid Pestov1 ; Gunther Uhlmann2
1 UGRA Research Institute of Information Technologies, Hanty-Mansiysk 628011, Russian Federation
2 Department of Mathematics, University of Washington, Seattle, WA 98195, United States
Annals of mathematics, Tome 161 (2005) no. 2, pp. 1093-1110.

Voir la notice de l'article provenant de la source Annals of Mathematics website

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.
DOI : 10.4007/annals.2005.161.1093

Leonid Pestov 1 ; Gunther Uhlmann 2

1 UGRA Research Institute of Information Technologies, Hanty-Mansiysk 628011, Russian Federation
2 Department of Mathematics, University of Washington, Seattle, WA 98195, United States 
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Leonid Pestov; Gunther Uhlmann. Two dimensional compact simple Riemannian manifolds are boundary distance rigid. Annals of mathematics, Tome 161 (2005) no. 2, pp. 1093-1110. doi : 10.4007/annals.2005.161.1093. http://geodesic.mathdoc.fr/articles/10.4007/annals.2005.161.1093/

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