A characterization of the Euclidean sphere with respect to an isoptic surface (Q331069)
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scientific article; zbMATH DE number 6643801
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A characterization of the Euclidean sphere with respect to an isoptic surface |
scientific article; zbMATH DE number 6643801 |
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A characterization of the Euclidean sphere with respect to an isoptic surface (English)
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26 October 2016
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In this paper, the authors prove that a centrally symmetric convex body \(K\) in \(n\)-dimensional Euclidean space is a ball if and only if one of its isoptic surfaces is homothetic to \(K\).
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isoptic surface
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Euclidean sphere
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homothetic curves
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centrally symmetric convex body
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