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A Note On Free Boundary Minimal Annulus

Differential Geometry 2019-10-07 v1

Abstract

In this note we investigate free boundary minimal surfaces in the Euclidean 3-space, and by using holomorphic techniques developed by Fraser and Schoen we prove that the free boundary minimal annulus is the critical catenoid.

Keywords

Cite

@article{arxiv.1910.01958,
  title  = {A Note On Free Boundary Minimal Annulus},
  author = {Shuangqi Liu and Zuhuan Yu},
  journal= {arXiv preprint arXiv:1910.01958},
  year   = {2019}
}

Comments

13 pages

R2 v1 2026-06-23T11:34:40.345Z