Boundary rigidity of negatively-curved asymptotically hyperbolic surfaces

DOI10.4171/CMH/483zbMath1442.53029arXiv1805.05155MaRDI QIDQ2179701

Thibault Lefeuvre

Publication date: 13 May 2020

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.05155

zbMATH Keywords

inverse problemsboundary rigidityasymptotically hyperbolic surfaces

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) PDEs on manifolds (35R01)

Cites Work

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• Geodesic flows
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• Riemannian manifolds with geodesic flow of Anosov type
• Integral geometry and holography
• Boundary rigidity with partial data
• Lens rigidity for manifolds with hyperbolic trapped sets
• Marked boundary rigidity for surfaces
• Geodesic Flow in Certain Manifolds Without Conjugate Points
• Riemannian geometry

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