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math.MG1997
On the p-affine surface area
Mathieu Meyer, Elisabeth Werner
We give geometric interpretations of certain affine invariants of convex bodies. The affine invariants are the p-affine surface areas introduced by Lutwak. The geometric interpreta…
math.MG1997
The Santalo-regions of a convex body
Mathieu Meyer, Elisabeth Werner
Motivated by the Blaschke-Santaló inequality, we define for a convex body K in and for the Santaló-regions S(K,t) of K. We investigate properties of the…