On the structure of convex sets with applications to the moduli of spherical minimal immersions (Q945964)
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scientific article; zbMATH DE number 5345502
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the structure of convex sets with applications to the moduli of spherical minimal immersions |
scientific article; zbMATH DE number 5345502 |
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On the structure of convex sets with applications to the moduli of spherical minimal immersions (English)
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22 September 2008
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In the paper under review, the author studies some properties of certain affine invariant measures of symmetry associated to a compact convex body \(\mathcal{L}\) in \(\mathbb{R}^n\) introduced in his earlier paper [Trans. Am. Math. Soc. 358, No. 6, 2425--2446 (2006; Zbl 1108.53032)]. As functions of the interior of \(\mathcal{L}\), these measures of symmetry are proved or disproved to be concave in some specific situations. Some applications for the DoCarmo-Wallach moduli space of spherical minimal immersions are obtained.
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convex set
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measures of symmetry
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spherical minimal immersion
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