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arXiv · 1608.05689

A gap theorem for free boundary minimal surfaces in the three-ball

Lucas Ambrozio·Ivaldo Nunes
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Abstract

We show that, among free boundary minimal surfaces in the unit ball in the three-dimensional Euclidean space, the flat equatorial disk and the critical catenoid are characterised by a pinching condition on the length of their second fundamental form.

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Lucas Ambrozio, Ivaldo Nunes. 2016-08-19. A gap theorem for free boundary minimal surfaces in the three-ball. https://arxiv.org/abs/1608.05689

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