Minimal Surfaces from Monopoles

Anthony Small

Minimal Surfaces from Monopoles

微分几何 2007-05-23 v1 高能物理 - 理论

作者: Anthony Small

摘要

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.

关键词

minimal surfaces surfaces with constant mean curvature differential geometry of surfaces and curves in euclidean space

引用

@article{arxiv.math/0203223,
  title  = {Minimal Surfaces from Monopoles},
  author = {Anthony Small},
  journal= {arXiv preprint arXiv:math/0203223},
  year   = {2007}
}

备注

23 pages, 2 figures

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