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arXiv:1805.05155 [math.DG]AbstractReferencesReviewsResources

Boundary rigidity of negatively-curved asymptotically hyperbolic surfaces

Thibault Lefeuvre

Published 2018-05-14Version 1

In the spirit of Otal and Croke, we prove that a negatively-curved asymptotically hyperbolic surface is boundary distance rigid, where the distance between two points on the boundary at infinity is defined by a renormalized quantity.

Comments: 37 pages, 5 figures
Categories: math.DG, math-ph, math.AP, math.MP
Subjects: 35R30, 37D40, 53C22
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