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arXiv · 1701.04981

A gap theorem for free boundary minimal surfaces in geodesic balls of hyperbolic space and hemisphere

Haizhong Li·Changwei Xiong
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Abstract

In this paper we provide a pinching condition for the characterization of the totally geodesic disk and the rotational annulus among minimal surfaces with free boundary in geodesic balls of three-dimensional hyperbolic space and hemisphere. The pinching condition involves the length of the second fundamental form, the support function of the surface, and a natural potential function in hyperbolic space and hemisphere.

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Haizhong Li, Changwei Xiong. 2017-01-18. A gap theorem for free boundary minimal surfaces in geodesic balls of hyperbolic space and hemisphere. https://arxiv.org/abs/1701.04981

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