Autor: |
Uhlmann, Gunther, Zhai, Jian |
Rok vydání: |
2024 |
Předmět: |
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Druh dokumentu: |
Working Paper |
Popis: |
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. |
Databáze: |
arXiv |
Externí odkaz: |
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