Boundary rigidity of negatively-curved asymptotically hyperbolic surfaces
Differential Geometry
2018-05-15 v1 Mathematical Physics
Analysis of PDEs
math.MP
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.
Keywords
Cite
@article{arxiv.1805.05155,
title = {Boundary rigidity of negatively-curved asymptotically hyperbolic surfaces},
author = {Thibault Lefeuvre},
journal= {arXiv preprint arXiv:1805.05155},
year = {2018}
}
Comments
37 pages, 5 figures