A new proof of the rigidity problem
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- by Chang-Wan Kim PDF
- Proc. Amer. Math. Soc. 136 (2008), 3635-3638 Request permission
Abstract:
In this short note we give a new proof of the boundary rigidity problem in a Euclidean setting proved by Croke. Our method is based on the differentiability of Busemann functions and the characteristic of Euclidean metric on Riemannian manifolds without conjugate points.References
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Additional Information
- Chang-Wan Kim
- Affiliation: Korea Institute for Advanced Study, 207-43 CheongNyangNi 2-Dong, DongDaeMun-Gu Seoul 130-722, Republic of Korea
- Email: cwkimgrf@kias.re.kr
- Received by editor(s): September 18, 2006
- Published electronically: May 22, 2008
- Communicated by: Jon G. Wolfson
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 3635-3638
- MSC (2000): Primary 53C20, 53C60
- DOI: https://doi.org/10.1090/S0002-9939-08-09082-5
- MathSciNet review: 2415048