Boundary rigidity of negatively-curved asymptotically hyperbolic surfaces
classification
🧮 math.DG
math-phmath.APmath.MP
keywords
boundaryasymptoticallydistancehyperbolicnegatively-curvedcrokedefinedinfinity
read the original 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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