Partial boundary regularity for co-dimension one area-minimizing currents at immersed C^1,α tangential boundary points

2015/08/18 by Rosales, Leobardo
#28A75 #49Q05 #49Q15 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1508.04229

Abstract

We give partial boundary regularity for co-dimension one absolutely area-minimizing currents at points where the boundary consists of a sum of C^1,α submanifolds, possibly with multiplicity, meeting tangentially, given that the current has a tangent cone supported in a hyperplane with constant orientation vector; this partial regularity is such that we can conclude the tangent cone is unique. The proof follows closely the boundary regularity result given by Hardt and Simon in [9].

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