A sufficient condition for one convex body containing another (Q1825440)
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scientific article; zbMATH DE number 4120911
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A sufficient condition for one convex body containing another |
scientific article; zbMATH DE number 4120911 |
Statements
A sufficient condition for one convex body containing another (English)
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1988
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Let \(K_ 1\) and \(K_ 2\) be \(C^ 2\) convex bodies. By considering the volumes, areas and mean curvatures of these bodies, the author obtains an estimate for the kinematic measure of one body moving in another. From this estimate follows a sufficient condition for \(K_ 1\subset K_ 2\) or \(K_ 2\subset K_ 1\).
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convex bodies
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volumes
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areas
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mean curvatures
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kinematic measure
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