arXiv:1804.02143 Abstract | arXiv Analytics

arXiv:1804.02143 [math.AP]Abstract References Reviews Resources

Local marked boundary rigidity under hyperbolic trapping assumptions

Published 2018-04-06, updated 2019-08-07Version 2

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.

Comments: 18 pages, 1 figure

Categories: math.AP, math.DG, math.DS

Subjects: 37D20, 37D40, 35R30

Keywords: local marked boundary rigidity, hyperbolic trapping assumptions, smooth compact connected manifolds, x-ray transform, locally marked boundary rigid

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