Area Bounds for Free Boundary Minimal Surfaces in a Geodesic Ball in the\n Sphere

2018/10/11 by Brian Freidin, Freidin, Brian, Peter McGrath +1
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1810.05046

openalex publication_date 2018/10/11 · openalex created_date 2022/08/02 · openalex updated_date 2026/07/28

Abstract

We extend to higher dimensions earlier sharp bounds for the area of two\ndimensional free boundary minimal surfaces contained in a geodesic ball of the\nround sphere. This follows work of Brendle and Fraser-Schoen in the euclidean\ncase.\n

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