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Minimal Surfaces from Monopoles

Small, Anthony (2002) Minimal Surfaces from Monopoles. .

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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 elucidated by the behaviour of the Gauss maps of the minimal surfaces.

Keywords:Differential Geometry, 53A10, 53C07, 81T13
Subjects:Science & Engineering > Mathematics
ID Code:716
Deposited By:Dr. Anthony Small
Deposited On:03 Oct 2007
Journal or Publication Title:Eprint arXiv:math/0203223
Refereed:Yes
URL:http://adsabs.harvard.edu/abs/2002math......3223S

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