Boundary Curves of Free Boundary Minimal Surfaces

Abstract

In this paper we investigate free boundary minimal surfaces in the unit ball in Euclidean 3-space, and by using holomorphic techniques we prove that intersection curves of free boundary minimal surfaces with the unit sphere are all circles.

11 pages. arXiv admin note: substantial text overlap with arXiv:1910.01958

References in corpus (1)

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