A Gap Theorem for Free Boundary Minimal Surfaces in Geodesic Balls of Hyperbolic Space and Hemisphere
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Description
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.
Collections | ANU Research Publications |
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Date published: | 2017 |
Type: | Journal article |
URI: | http://hdl.handle.net/1885/231083 |
Source: | Journal of Geometric Analysis |
DOI: | 10.1007/s12220-017-9953-6 |
Access Rights: | Open Access |
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File | Description | Size | Format | Image |
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Li-Xiong-J.Geom.Anal.-2018.pdf | 295.2 kB | Adobe PDF |
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