The Santalo-regions of a convex body
Mathieu Meyer, Elisabeth Werner
Abstract
Motivated by the Blaschke-Santaló inequality, we define for a convex body K in Rn and for t ∈ R the Santaló-regions S(K,t) of K. We investigate properties of these sets and relate them to a concept of Affine Differential Geometry, the affine surface area of K.
Create a lesson
Related papers
Intrinsic Rigidity of Bar-and-Joint Frameworks on Riemannian Manifolds
Matthias Adrian-Himmelmann
A new family of constant width bodies obtained from Reuleaux polyhedra
Marcela G. Mercado-Flores, Edgardo Roldán-Pensado
Exponential profiles for the intrinsic volumes of Orlicz balls
Mykyta Sadok
Unrectifiable surfaces with intrinsic regularity in Carnot groups
Valentino Magnani, Jeremy Mirmina
Lattices with Large Kissing Number from Local Density
Huck Bennett, Minki Hhan, Zihan Li et al.
Quasiconformal uniformization and extension for planar trees
Fotis Ioannidis Vyron Vellis