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    On Algebraic Minimal Surfaces in R3 Deriving from Charge 2 Monopole Spectral Curves


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    Small, Anthony (2005) On Algebraic Minimal Surfaces in R3 Deriving from Charge 2 Monopole Spectral Curves. International Journal of Mathematics, 16.

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    Abstract

    We give formulae for minimal surfaces in R3 deriving, via classical osculation duality, from elliptic curves in a line bundle over P1. Specialising to the case of charge 2 monopole spectral curves we find that the distribution of Gaussian curvature on the auxiliary minimal surface reflects the monopole�s structure. This is elucidated by the behaviour of the surface�s Gauss map.
    Item Type: Article
    Keywords: Algebraic minimal surfaces; R3; Charge 2 Monopole Spectral Curves; Gauss map;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 718
    Depositing User: Dr. Anthony Small
    Date Deposited: 05 Oct 2007
    Journal or Publication Title: International Journal of Mathematics
    Publisher: World Scientific Publishing
    Refereed: Yes
    URI: https://mural.maynoothuniversity.ie/id/eprint/718
    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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