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Boundary Curves of Free Boundary Minimal Surfaces

2019/10/19 by Zuhuan Yu, Yu, Zuhuan
Mathematics · #53B25 53C40 #Analytic and geometric function theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities #math.DG #msc:53B25 #msc:53C40

paper · pdf · doi:10.48550/arxiv.1910.09958

11 pages. arXiv admin note: substantial text overlap with arXiv:1910.01958

arxiv created 2019/10/19 · openalex publication_date 2019/10/19 · arxiv updated 2019/10/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we investigate free boundary minimal surfaces in the unit ball in Euclidean 3-space, and by using holomorphic techniques we prove that intersection curves of free boundary minimal surfaces with the unit sphere are all circles.

Citations

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