Αποθηκεύτηκε σε:
| Κύριοι συγγραφείς: | , , |
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| Μορφή: | Preprint |
| Έκδοση: |
2021
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| Θέματα: | |
| Διαθέσιμο Online: | https://arxiv.org/abs/2108.01732 |
| Ετικέτες: |
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Πίνακας περιεχομένων:
- In this work we prove the following result: Let $K$ be a strictly convex body in the Euclidean space $\mathbb{R}^n, n\geq 3$, and let $L$ be a hypersurface, which is the image of an embedding of the sphere $\mathbb{S}^{n-1}$, such that $K$ is contained in the interior of $L$. Suppose that, for every $x\in L$, there exists $y\in L$ such that the support double-cones of $K$ with apexes at $x$ and $y$, differ by a translation. Then $K$ and $L$ are centrally symmetric and concentric.