On realization of tangent cones of homologically area-minimizing compact singular submanifolds

2015/02/10 by Yongsheng Zhang, Zhang, Yongsheng · 3 citations
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Primary 28A75 #Secondary 53C38 #math.DG #msc:28A75 #msc:53C38

paper · pdf · doi:10.48550/arxiv.1502.03004

Section 6 got updated

arxiv created 2015/12/01 · arxiv updated 2015/12/02

Abstract

We show that every area-minimizing hypercone and every oriented Lawlor cone in [Law91] can be realized as a tangent cone at a point of some homologically area-minimizing singular compact submanifold. In particular this generalizes the result of N. Smale [Sma99].

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