most citedDiscrete surfaces with length and area and minimal fillings of the circle

3 citations · 3 across the 2 of their papers we have counts for

collaborators

3 papers

math.MG2020

Minimal area of Finsler disks with minimizing geodesics

Marcos Cossarini, Stéphane Sabourau

We show that the Holmes--Thompson area of every Finsler disk of radius whose interior geodesics are length-minimizing is at least . Furthermore, we construct exa…

math.DG2020★ 3 cited

Discrete surfaces with length and area and minimal fillings of the circle

Marcos Cossarini

We propose to imagine that every Riemannian metric on a surface is discrete at the small scale, made of curves called walls. The length of a curve is its number of wall crossings,…

math.GT2016

Intersection norms on surfaces and Birkhoff cross sections

Pierre Dehornoy, Marcos Cossarini

For every finite collection of curves on a surface, we define an associated (semi-)norm on the first homology group of the surface. The unit ball of the dual norm is the convex hul…