A Note On Free Boundary Minimal Annulus

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.

arXiv comment13 pages

References in corpus (2)

• Free Boundary Minimal Surfaces in the Unit Three-Ball via Desingularization of the Critical Catenoid and the Equatorial Disk
• Free boundary minimal surfaces in the unit ball : recent advances and open questions