On deformation boundary rigidity and spectral rigidity of Riemannian surfaces with no focal points.
From MaRDI portal
Publication:1609795
DOI10.4310/jdg/1090347526zbMath1065.53039OpenAlexW1493534664WikidataQ115203060 ScholiaQ115203060MaRDI QIDQ1609795
Gunther Uhlmann, Vladimir Sharafutdinov
Publication date: 15 August 2002
Published in: Journal of Differential Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4310/jdg/1090347526
Riemannian manifoldRiemannian surfacefocal pointisospectral deformationspectral rigidityAnosov manifolddeformation boundary rigidity
Related Items (19)
Stability estimates for the \(X\)-ray transform of tensor fields and boundary rigidity ⋮ Boundary rigidity and stability for generic simple metrics ⋮ Stability for the Lens rigidity problem ⋮ Variations of Dirichlet-to-Neumann map and deformation boundary rigidity of simple 2-manifolds ⋮ Spectral rigidity for spherically symmetric manifolds with boundary ⋮ The attenuated ray transform for connections and Higgs fields ⋮ Pestov identities and X-ray tomography on manifolds of low regularity ⋮ Spherically symmetric terrestrial planets with discontinuities are spectrally rigid ⋮ Jacobi bracket, differential identities, and the inverse problem for kinetic equations ⋮ The magnetic ray transform on Anosov surfaces ⋮ Holomorphic differentials, thermostats and Anosov flows ⋮ Invariant distributions, Beurling transforms and tensor tomography in higher dimensions ⋮ Inverse problems: seeing the unseen ⋮ Entropy production in thermostats. II ⋮ Travel time tomography ⋮ Convex projective surfaces with compatible Weyl connection are hyperbolic ⋮ On the characterization of the kernel of the geodesic X-ray transform ⋮ Recent progress on the boundary rigidity problem ⋮ Open problems and questions about geodesics
This page was built for publication: On deformation boundary rigidity and spectral rigidity of Riemannian surfaces with no focal points.
