The size of the singular set of area-minimizing currents

2015/06/26 by Camillo De Lellis, De Lellis, Camillo
Mathematics · #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #math.AP #math.DG

paper · pdf · doi:10.48550/arxiv.1506.08118

arxiv created 2015/08/08 · arxiv updated 2015/08/11

Abstract

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.

Related

• Regularity of higher codimension area minimizing integral currents
• Regularity of area minimizing currents II: center manifold
• Flat interior singularities for area almost-minimizing currents
• Regularity of area minimizing currents III: blow-up
• Regularity theory for 2-dimensional almost minimal currents III: blowup