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

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Date

2017

Authors

Li, Haizhong
Xiong, Changwei

Journal Title

Journal ISSN

Volume Title

Publisher

American Mathematical Society

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.

Description

Keywords

Gap theorem, Minimal surface, Free boundary, Hyperbolic space, Hemisphere

Citation

URI

http://hdl.handle.net/1885/231083

Collections

ANU Research Publications

Source

Journal of Geometric Analysis

Type

Journal article

Book Title

Entity type

Access Statement

Open Access

License Rights

DOI

10.1007/s12220-017-9953-6

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Li-Xiong-J.Geom.Anal.-2018.pdf (295.2 KB)

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