Showing math.APShow all
3 papers · 1 filter
math.AP2026
The Monge-Kantorovich tangent bundle to a measure
Adolfo Arroyo-Rabasa, Averil Aussedat, Guy Bouchitté
We study the tangent bundle to a Radon measure in Euclidean space, introduced by Bouchitté, Champion and Jimenez (2005). Its construction, inspired by Monge-Kantorovich o…
math.AP2025
Calibration for minimal surfaces with free boundary and Cheeger-type problems
Guy Bouchitté, Minh Phan
We study a problem of minimal surfaces with free boundary written in the form of a non convex minimization problem. Our aim is to characterize optimal solutions by finding a suitab…
math.AP2025
Structural properties of one-dimensional metric currents: SBV-representations, connectedness and the flat chain conjecture
Adolfo Arroyo-Rabasa, Guy Bouchitté
A comprehensive study of one-dimensional metric currents and their relationship to the geometry of metric spaces is presented. We resolve the one-dimensional flat chain conjecture…