Constant width and transnormality in spheres (Q1919300)
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scientific article; zbMATH DE number 913032
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Constant width and transnormality in spheres |
scientific article; zbMATH DE number 913032 |
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Constant width and transnormality in spheres (English)
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17 March 1997
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Let \(C\) be a body of constant width \((\pi/2) + x\in ((\pi/2),\pi)\) in the unit sphere \(S^n\). Then \(C\) contains a body \(C^*\) of constant width \((\pi/2)-x\) such that \(C\) is the closed \(x\)-neighborhood of \(C^*\). Moreover, the body \(C\) is smooth. Throughout the text some properties on convex sets of constant width on the \(n\)-sphere are given.
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geodesics
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transnormality
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binormal
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\(n\)-sphere
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convex sets
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constant width
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