Minimal Surfaces from Monopoles

Details Minimal Surfaces from Monopoles Minimal Surfaces from Monopoles

2002-03-21

arxiv.org/abs/math/0203223v1

Mathematics

Differential Geometry

23 pages, 2 figures

Scientific paper

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.

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