Boundary determination of a Riemannian metric by the localized boundary distance function.

DOI10.1016/S0196-8858(03)00017-4zbMath1042.53020OpenAlexW2084666096WikidataQ115339497 ScholiaQ115339497MaRDI QIDQ1415383

Jenn-Nan Wang, Gunther Uhlmann

Publication date: 3 December 2003

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0196-8858(03)00017-4

zbMATH Keywords

Taylor seriesnormal coordinatesboundaryboundary distance function

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (7)

Boundary rigidity and stability for generic simple metrics ⋮ An inverse problem from condensed matter physics ⋮ Lens rigidity for a particle in a Yang-Mills field ⋮ Unique determination for an inverse problem from the vortex dynamics ⋮ Scattering rigidity with trapped geodesics ⋮ Recovery of the \(C ^\infty\) jet from the boundary distance function ⋮ Distance difference representations of Riemannian manifolds

Cites Work

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• Filling Riemannian manifolds
• Rigidity for metrics with the same lengths of geodesics
• Sur la rigidite imposee par la longueur des geodesiques
• Sojourn times and asymptotic properties of the scattering matrix
• Semiglobal boundary rigidity for Riemannian metrics
• Determining anisotropic real-analytic conductivities by boundary measurements
• Restriction de la distance géodésique à un arc et rigidité
• Boundary Determination of Conductivities and Riemannian Metrics via Local Dirichlet-to-Neumann Operator

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