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arXiv · 2501.02700

Free boundary minimal surfaces and the reflection principle

Jaigyoung Choe
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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.

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Jaigyoung Choe. 2025-01-06. Free boundary minimal surfaces and the reflection principle. https://arxiv.org/abs/2501.02700

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