2 papers
math.DG2022
The first width of non-negatively curved surfaces with convex boundary
Sidney Donato, Rafael Montezuma
In this paper, free boundary geodesic networks whose length realize the first min-max width of the length functional are investigated. This functional acts on the space of relative…
math.DG2020
The first -widths of the unit disk
Sidney Donato
On compact 2-manifolds with non-empty convex boundary, we prove a regularity result for integral 1-varifolds that are stationary with free boundary and -almost mi…