Minimal Surfaces from Monopoles
Differential Geometry
2007-05-23 v1 High Energy Physics - Theory
Abstract
The geometry of minimal surfaces generated by charge 2 Bogomolny monopoles on 3-dimensional Euclidean space is described in terms of the moduli parameter k. We find that the distribution of Gaussian curvature on the surface reflects the monopole structure. This is elucidated by the behaviour of the Gauss maps of the minimal surfaces.
Keywords
Cite
@article{arxiv.math/0203223,
title = {Minimal Surfaces from Monopoles},
author = {Anthony Small},
journal= {arXiv preprint arXiv:math/0203223},
year = {2007}
}
Comments
23 pages, 2 figures