Jian Zhai

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20242026

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3 papers · 1 filter

math.AP2024

On the anisotropic Calderón's problem

Gunther Uhlmann, Jian Zhai

We prove that the Riemannian metric on a compact manifold of dimension $n \geq 3$ with smooth boundary can be uniquely determined, up to an isometry fixing the boundary, by the Diri…

math.DG2024

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

Gunther Uhlmann, Jian Zhai

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 $2$ …

math.DG2024

Invertibility of local geodesic transverse and mixed ray transforms I: basic cases

Gunther Uhlmann, Jian Zhai

Consider a compact Riemannian manifold in dimension $n \geq 3$ with strictly convex boundary. We show that the transverse ray transform of $1$ tensors and the mixed ray transform of…