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math.DGOct 4, 2019
authors
  • Shuangqi Liu
  • Zuhuan Yu
institutions
  • Capital Normal University
arXiv abstractPDF
paper

A Note On Free Boundary Minimal Annulus

arXiv:1910.01958

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.

13 pages

References in corpus (1)

  • Free Boundary Minimal Surfaces in the Unit Three-Ball via Desingularization of the Critical Catenoid and the Equatorial Disk
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