Abstract
We study the properties of certain affine invariant measures of symmetry associated to a compact convex body L in a Euclidean vector space. As functions of the interior of L, these measures of symmetry are proved or disproved to be concave in specific situations, notably for the reduced moduli of spherical minimal immersions.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 491-515 |
| Number of pages | 25 |
| Journal | Beitrage zur Algebra und Geometrie |
| Volume | 49 |
| Issue number | 2 |
| State | Published - 2008 |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
- Geometry and Topology
Keywords
- Convex set
- Distortion
- Measures of symmetry