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arXiv · 1805.05155

Boundary rigidity of negatively-curved asymptotically hyperbolic surfaces

Thibault Lefeuvre
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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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Thibault Lefeuvre. 2018-05-14. Boundary rigidity of negatively-curved asymptotically hyperbolic surfaces. https://arxiv.org/abs/1805.05155

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