Two dimensional compact simple Riemannian manifolds are boundary distance rigid

• Autores: Leonid Pestov, Gunther Uhlmann
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 161, Nº 2, 2005, págs. 1093-1110
• Idioma: inglés
• DOI: 10.4007/annals.2005.161.1093
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• Resumen

  • 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.