Free Boundary Minimal Annuli Immersed in the Unit 3-Ball
Differential Geometry
2022-12-20 v1
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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Cite
@article{arxiv.2212.09680,
title = {Free Boundary Minimal Annuli Immersed in the Unit 3-Ball},
author = {Nikolaos Kapouleas and Peter McGrath},
journal= {arXiv preprint arXiv:2212.09680},
year = {2022}
}
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23 pages