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arXiv · 2402.12640

Invertibility of local geodesic transverse and mixed ray transforms II: higher order tensors

Gunther Uhlmann·Jian Zhai
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Abstract

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.

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Gunther Uhlmann, Jian Zhai. 2024-02-20. Invertibility of local geodesic transverse and mixed ray transforms II: higher order tensors. https://arxiv.org/abs/2402.12640

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