Racetracks and extremal problems for curves of bounded curvature in metric spaces (Q1364942)
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scientific article; zbMATH DE number 1053737
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Racetracks and extremal problems for curves of bounded curvature in metric spaces |
scientific article; zbMATH DE number 1053737 |
Statements
Racetracks and extremal problems for curves of bounded curvature in metric spaces (English)
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28 August 1997
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The authors consider closed curves in a \(CAT(K)\) space with given circumradius and upper bound on the curvature. They obtain a sharp lower bound on the length with a discussion when the bound is obtained. They prove a similar result for nonclosed curves, where the circumradius is replaced by the breadth of the curve.
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bounded curvature
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closed curves
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circumradius
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length
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nonclosed curves
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breadth
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