Almgren and topological minimality for the set Y× Y

2012/03/02 by Xiangyu Liang, Liang, Xiangyu
Computer Science · Mathematics · #28A75 #49K99 #49Q10 #49Q20 #Advanced Mathematical Modeling in Engineering #Classical Analysis and ODEs (math.CA) #Differential Geometry (math.DG) #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #Geometric Analysis and Curvature Flows #math.CA #math.DG #math.FA #msc:28A75 #msc:49K99 #msc:49Q10 #msc:49Q20

paper · pdf · doi:10.48550/arxiv.1203.0564

41 pages

openalex publication_date 2012/03/02 · arxiv created 2012/03/12 · arxiv updated 2012/03/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we discuss various minimality properties for the orthogonal product of two 1-dimensional \Y sets, and some related problems. This is motivated by an attempt to give the classification of singularities for 2-dimensional Almgren-minimal sets in \R⁴.

Citations

• Topological minimal sets and their applications

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