Abstract
Motivated by the Blaschke-Santalo inequality, we define for a convex body K in Rn and for t ∈ R the Santalo-regions S(K, t) of K. We investigate the properties of these sets and relate them to a concept of affine differential geometry, the affine surface area of K.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 4569-4591 |
| Number of pages | 23 |
| Journal | Transactions of the American Mathematical Society |
| Volume | 350 |
| Issue number | 11 |
| DOIs | |
| State | Published - 1998 |
| Externally published | Yes |
Keywords
- Affine surface area
- Blaschke-santalö inequality