{ "id": "1804.02143", "version": "v2", "published": "2018-04-06T06:09:39.000Z", "updated": "2019-08-07T17:32:36.000Z", "title": "Local marked boundary rigidity under hyperbolic trapping assumptions", "authors": [ "Thibault Lefeuvre" ], "comment": "18 pages, 1 figure", "categories": [ "math.AP", "math.DG", "math.DS" ], "abstract": "Under the assumption that the X-ray transform over symmetric solenoidal 2-tensors is injective, we prove that smooth compact connected manifolds with strictly convex boundary, no conjugate points and a hyperbolic trapped set are locally marked boundary rigid.", "revisions": [ { "version": "v2", "updated": "2019-08-07T17:32:36.000Z" } ], "analyses": { "subjects": [ "37D20", "37D40", "35R30" ], "keywords": [ "local marked boundary rigidity", "hyperbolic trapping assumptions", "smooth compact connected manifolds", "x-ray transform", "locally marked boundary rigid" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable" } } }