Regularity theory for 2-dimensional almost minimal currents III:\n blowup

2015/08/22 by Camillo De Lellis, Emanuele Spadaro, De Lellis, Camillo +3 · 1 citation
Computer Science · Mathematics · #35B65 #35J47 #49N60 #49Q15 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1508.05510

openalex publication_date 2015/08/22 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28

Abstract

We analyze the asymptotic behavior of a 2-dimensional integral current\nwhich is almost minimizing in a suitable sense at a singular point. Our\nanalysis is the second half of an argument which shows the discreteness of the\nsingular set for the following three classes of 2-dimensional currents: area\nminimizing in Riemannian manifolds, semicalibrated and spherical cross sections\nof 3-dimensional area minimizing cones.\n

Cited by

• Structure of two-dimensional mod(q) area-minimizing currents near flat singularities: the codimension one case

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