Blaschke-Süss type theorems for closed plane curves (Q1198218)
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scientific article; zbMATH DE number 92572
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Blaschke-Süss type theorems for closed plane curves |
scientific article; zbMATH DE number 92572 |
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Blaschke-Süss type theorems for closed plane curves (English)
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16 January 1993
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The authors consider a class of plane closed \(C^ 1\)-curves which contains the class of rosettes and ovals and is suitable for their proof techniques. They study generalizations of antipodal and arc- antipodal sets, and establish greatest lower bounds for the number of these sets. For related improvements of the Blaschke-Süss theorem see papers of \textit{W. Cieślak} and \textit{W. Mozgawa} [Geom. Dedicata 24, 221-228 (1987; Zbl 0629.53004)] and the reviewer [Geom. Dedicata 29, No. 3, 317- 326 (1989; Zbl 0641.53002)].
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rosettes
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ovals
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antipodal sets
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Blaschke-Süss theorem
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