Stability of Helicoids in Hyperbolic Three-Dimensional Space
Differential Geometry
2015-02-18 v1 Geometric Topology
Abstract
For a family of minimal helicoids H_a in the hyperbolic 3-space, there exists a constant a_c=2.17966 such that the following statements are true: (1) H_a is a globally stable minimal surface if 0<=a<=a_c, and (2) H_a is an unstable minimal surface with index one if a>a_c.
Keywords
Cite
@article{arxiv.1502.04764,
title = {Stability of Helicoids in Hyperbolic Three-Dimensional Space},
author = {Biao Wang},
journal= {arXiv preprint arXiv:1502.04764},
year = {2015}
}
Comments
10 pages, 3 figures