A new proof of the rigidity problem

DOI10.1090/S0002-9939-08-09082-5zbMath1154.53021OpenAlexW2092576617WikidataQ125019498 ScholiaQ125019498MaRDI QIDQ3533881

Chang-Wan Kim

Publication date: 24 October 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-08-09082-5

zbMATH Keywords

Busemann functionsboundary rigidSantaló's formula

Mathematics Subject Classification ID

Integral geometry (53C65) Global Riemannian geometry, including pinching (53C20) Rigidity results (53C24)

Cites Work

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• Rigidity and the distance between boundary points
• Horospheres and the stable part of the geodesic flow
• Finsler metrics on the disk determined by a distance function between boundary points
• Rigidity of noncompact Finsler manifolds
• On asymptotic volume of Finsler tori, minimal surfaces in normed spaces, and symplectic filling volume.
• Two dimensional compact simple Riemannian manifolds are boundary distance rigid
• Boundary and Lens Rigidity of Lorentzian Surfaces

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