A Gap Theorem for Free Boundary Minimal Surfaces in Geodesic Balls of Hyperbolic Space and Hemisphere
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|
|Source:||Journal of Geometric Analysis|
|Access Rights:||Open Access|
|Li-Xiong-J.Geom.Anal.-2018.pdf||295.2 kB||Adobe PDF|
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