On reduced convex bodies (Q1819379)

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scientific article; zbMATH DE number 3992336
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English
On reduced convex bodies
scientific article; zbMATH DE number 3992336

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    On reduced convex bodies (English)
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    1986
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    The main author's result is the following: A reduced (convex) body \(K\subset R^ d\) is of constant width if it has a supporting sphere almost everywhere in \(\partial K\). This ''almost spherical convexity'' condition and the usual strict convexity one do not imply each other.
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    reduced convex body
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    constant width
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    supporting sphere
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    strict convexity
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