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Boundary rigidity of negatively-curved asymptotically hyperbolic surfaces

Published 14 May 2018 in math.DG, math-ph, math.AP, and math.MP | (1805.05155v1)

Abstract: 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.

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