Reflections of convex bodies and their sections (Q6572412)
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scientific article; zbMATH DE number 7881030
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Reflections of convex bodies and their sections |
scientific article; zbMATH DE number 7881030 |
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Reflections of convex bodies and their sections (English)
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15 July 2024
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The authors study the reflections of a convex body. In particular, they are interested in orthogonal reflections of its sections that can be extended to reflections of the whole body. They study the case of a nonspherical ellipsoid. The authors give a characterization of ellipsoids in terms of their reflections and prove a result related to a conjecture due to K. Bezdek.
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orthogonal reflection
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nonspherical ellipsoid
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convex body
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