Convex bodies with minimal volume product in \(\mathbb{R}^ 2\) (Q1180723)
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scientific article; zbMATH DE number 29567
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convex bodies with minimal volume product in \(\mathbb{R}^ 2\) |
scientific article; zbMATH DE number 29567 |
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Convex bodies with minimal volume product in \(\mathbb{R}^ 2\) (English)
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27 June 1992
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A new proof of the following result due to \textit{K. Mahler} [Casopis Pest. Met. Fys. 68, 93-102 (1939; Zbl 0021.10403)] is given: The product of the surface areas of a convex body in the plane and of its polar body is always bigger than that of a triangle. The case of equality is then established.
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convex sets
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volume product
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