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    Minimal Surfaces from Monopoles


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

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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.

    Item Type: Other
    Keywords: Differential Geometry, 53A10, 53C07, 81T13
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 716
    Depositing User: Dr. Anthony Small
    Date Deposited: 03 Oct 2007
    Journal or Publication Title: Eprint arXiv:math/0203223
    Refereed: Yes
    URI:
    Use Licence: This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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