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Bibliographic Details
Main Authors: Uhlmann, Gunther, Zhai, Jian
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2402.12640
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Table of Contents:
  • Consider a compact Riemannian manifold in dimension $n$ with strictly convex boundary. We show the local invertibility near a boundary point of the transverse ray transform of $2$ tensors for $n\geq 3$ and the mixed ray transform of $2+2$ tensors for $n=3$. When the manifold admits a strictly convex function, this local invertibility result leads to global invertibility.