{ "id": "1805.05155", "version": "v1", "published": "2018-05-14T13:15:24.000Z", "updated": "2018-05-14T13:15:24.000Z", "title": "Boundary rigidity of negatively-curved asymptotically hyperbolic surfaces", "authors": [ "Thibault Lefeuvre" ], "comment": "37 pages, 5 figures", "categories": [ "math.DG", "math-ph", "math.AP", "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.", "revisions": [ { "version": "v1", "updated": "2018-05-14T13:15:24.000Z" } ], "analyses": { "subjects": [ "35R30", "37D40", "53C22" ], "keywords": [ "negatively-curved asymptotically hyperbolic surface", "boundary rigidity", "boundary distance rigid", "renormalized quantity" ], "note": { "typesetting": "TeX", "pages": 37, "language": "en", "license": "arXiv", "status": "editable" } } }