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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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