2 papers
math.MG2026
Area Minimization Among Group-Invariant Planar Convex Bodies of Constant Width
Javier Falco, Sergii Myroshnychenko
The classical Blaschke--Lebesgue theorem identifies the Reuleaux triangle as the planar convex body of constant width with minimum area. We investigate this extremal problem under…
math.FA2020
Group invariant separating polynomials on a Banach space
Javier Falco, Domingo Garcia, Mingu Jung +1
We study the group invariant continuous polynomials on a Banach space that separate a given set in and a point outside . We show that if is a real Banach spa…