Least area Spherical Catenoids in Hyperbolic Three-Dimensional Space
Differential Geometry
2015-02-18 v2 Geometric Topology
Abstract
For a family of spherical minimal catenoids C_a in the hyperbolic 3-space, there exist two constants 0<a_c<a_l such that the following are true: (1) C_a is an unstable minimal surface with index one if a<a_c, (2) C_a is a stable minimal surface if a>=a_c, and (3) C_a is a least area minimal surface in the sense of Meeks-Yau if a>=a_l.
Keywords
Cite
@article{arxiv.1204.4943,
title = {Least area Spherical Catenoids in Hyperbolic Three-Dimensional Space},
author = {Biao Wang},
journal= {arXiv preprint arXiv:1204.4943},
year = {2015}
}
Comments
25 pages, 12 figures