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A Gap Theorem for Free Boundary Minimal Surfaces in Geodesic Balls of Hyperbolic Space and Hemisphere

Li, Haizhong; Xiong, Changwei


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.

CollectionsANU Research Publications
Date published: 2017
Type: Journal article
Source: Journal of Geometric Analysis
DOI: 10.1007/s12220-017-9953-6
Access Rights: Open Access


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