Geodesic
Recent progress on the boundary rigidity problem
Stefanov, Plamen1 ; Uhlmann, Gunther2
1 Department of Mathematics, Purdue University, West Lafayette, IN 47907
2 Department of Mathematics, University of Washington, Seattle, WA 98195
Electronic research announcements of the American Mathematical Society, Tome 11 (2005), pp. 64-70.

Voir la notice de l'article provenant de la source American Mathematical Society

The boundary rigidity problem consists in determining a compact, Riemannian manifold with boundary, up to isometry, by knowing the boundary distance function between boundary points. In this paper we announce the result of our forthcoming article that one can solve this problem for generic simple metrics. Moreover we probe stability estimates for this problem.
DOI : 10.1090/S1079-6762-05-00148-4

Stefanov, Plamen 1 ; Uhlmann, Gunther 2

1 Department of Mathematics, Purdue University, West Lafayette, IN 47907
2 Department of Mathematics, University of Washington, Seattle, WA 98195 
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Stefanov, Plamen; Uhlmann, Gunther. Recent progress on the boundary rigidity problem. Electronic research announcements of the American Mathematical Society, Tome 11 (2005), pp. 64-70. doi : 10.1090/S1079-6762-05-00148-4. http://geodesic.mathdoc.fr/articles/10.1090/S1079-6762-05-00148-4/

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