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)|
|Number of pages||23|
|Journal||Transactions of the American Mathematical Society|
|State||Published - 1998|
- Affine surface area
- Blaschke-santalö inequality