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math.DG2023
Injectivity and stability for the sub-Riemannian X-ray transform on H-type groups
Steven Flynn
We prove injectivity and a stability estimate for the X-ray transform along sub-Riemannian geodesics of -type groups, a setting in which almost every geodesic carries conjugate…
math.DG2020
Injectivity of the Heisenberg X-ray Transform
Steven Flynn
We initiate the study of X-ray tomography on sub-Riemannian manifolds, for which the Heisenberg group exhibits the simplest nontrivial example. With the language of the group Fouri…