The isodiametric problem and other inequalities in the constant curvature 2-spaces (Q496366)
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scientific article; zbMATH DE number 6483910
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The isodiametric problem and other inequalities in the constant curvature 2-spaces |
scientific article; zbMATH DE number 6483910 |
Statements
The isodiametric problem and other inequalities in the constant curvature 2-spaces (English)
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21 September 2015
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The authors of this paper extend several classical inequalities for convex bodies in \(\mathbb{R}^{2}\) to analogous cases in \(2\)-dimensional spaces of constant curvature.
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spherical/hyperbolic isodiametric inequality
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Rosenthal-Szasz theorem
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spherical/hyperbolic symmetric convex bodies
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minimal (geodesic) width
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perimeter
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area
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diameter
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