Local marked boundary rigidity under hyperbolic trapping assumptions
Analysis of PDEs
2019-08-08 v2 Differential Geometry
Dynamical Systems
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.
Cite
@article{arxiv.1804.02143,
title = {Local marked boundary rigidity under hyperbolic trapping assumptions},
author = {Thibault Lefeuvre},
journal= {arXiv preprint arXiv:1804.02143},
year = {2019}
}
Comments
18 pages, 1 figure