Free boundary minimal surfaces and the reflection principle
Differential Geometry
2025-01-07 v1
Abstract
We show that a minimal surface meeting a sphere at a 90-degree angle can be reflected across the sphere. Using this reflection, we prove the uniqueness that every embedded free boundary minimal annulus in a ball is necessarily the critical catenoid.
Keywords
Cite
@article{arxiv.2501.02700,
title = {Free boundary minimal surfaces and the reflection principle},
author = {Jaigyoung Choe},
journal= {arXiv preprint arXiv:2501.02700},
year = {2025}
}
Comments
16 pages