2 papers
math.MG2021
On explicit representations of isotropic measures in John and Löwner positions
F. M. Baêta, J. Haddad
Given a convex body in Löwner position we study the problem of constructing a non-negative centered isotropic measure supported in the contact points, who…
math.FA2019
functional Busemann-Petty centroid inequality
Julian Haddad, Carlos Hugo Jimenez, Leticia Alves da Silva
If is a convex body and is the -centroid body of , the Busemann-Petty centroid inequality states that $\vol(Γ_pK) \geq \vol(K)$, with equa…