Calculus of Variations and Geometric Measure Theory

C. De Lellis

The size of the singular set of area-minimizing currents

created by delellis on 26 Jun 2015
modified on 27 Jun 2019


Published Paper

Inserted: 26 jun 2015
Last Updated: 27 jun 2019

Journal: Surveys in differential geometry
Year: 2016

ArXiv: 1506.08118 PDF

Surveys in differential geometry 2016. Advances in geometry and mathematical physics, 1–83, Surv. Differ. Geom., 21, Int. Press, Somerville, MA, 2016.


This a survey on a series of recent papers in collaboration with Emanuele Spadaro on the regularity of area-minimizing currents in codimension higher than $1$.

Keywords: singular set, Area minimizing currents