Electronic Research Announcements

Author(s): Plamen Stefanov; Gunther Uhlmann
Journal: Electron. Res. Announc. Amer. Math. Soc. 11 (2005), 64-70.
MSC (2000): Primary 53C20
Posted: June 23, 2005
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Abstract: 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.

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Plamen Stefanov
Affiliation: Department of Mathematics, Purdue University, West Lafayette, IN 47907
Email: stefanov@math.purdue.edu

Gunther Uhlmann
Affiliation: Department of Mathematics, University of Washington, Seattle, WA 98195
Email: gunther@math.washington.edu

DOI: 10.1090/S1079-6762-05-00148-4
PII: S 1079-6762(05)00148-4
Keywords: Boundary rigidity, Riemannian manifold, inverse problem
Received by editor(s): March 8, 2005
Posted: June 23, 2005
Additional Notes: The first author was supported in part by NSF Grant DMS-0400869.
The second author was supported in part by NSF Grant DMS-0245414.
Communicated by: Dmitri Burago
Copyright of article: Copyright 2005, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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