JournalscmhVol. 95, No. 1pp. 129–166

Boundary rigidity of negatively-curved asymptotically hyperbolic surfaces

  • Thibault Lefeuvre

    Université Paris-Sud, Université Paris-Saclay, Orsay, France
Boundary rigidity of negatively-curved asymptotically hyperbolic surfaces cover
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Abstract

In the spirit of Otal [17] and Croke [3], we prove that a negatively-curved asymptotically hyperbolic surface is marked boundary distance rigid, where the distance between two points on the boundary at infinity is defined by a renormalized quantity.

Cite this article

Thibault Lefeuvre, Boundary rigidity of negatively-curved asymptotically hyperbolic surfaces. Comment. Math. Helv. 95 (2020), no. 1, pp. 129–166

DOI 10.4171/CMH/483