Free Boundary Minimal Annuli Immersed in the Unit 3-Ball

2022/12/19 by Nikolaos Kapouleas, Kapouleas, Nikolaos, Peter McGrath +1
Mathematics · #Mathematics and Applications #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.2212.09680

Abstract

Using the linearized doubling methodology we carry out a PDE gluing construction of a discrete family of non-rotational properly immersed free boundary minimal annuli in the Euclidean unit 3-ball. The surfaces we construct resemble equatorial disks joined by half-catenoidal bridges at the boundary.

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