On Algebraic Minimal Surfaces in R3 Deriving from Charge 2 Monopole Spectral Curves
Small, Anthony (2005) On Algebraic Minimal Surfaces in R3 Deriving from Charge 2 Monopole Spectral Curves. International Journal of Mathematics, 16 . AbstractWe 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 monopoleâs structure. This is elucidated by the behaviour of the
surfaceâs Gauss map. | Keywords: | Algebraic minimal surfaces; R3; Charge 2 Monopole Spectral Curves; Gauss map; |
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| Subjects: | Science & Engineering > Mathematics |
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| ID Code: | 718 |
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| Deposited By: | Dr. Anthony Small |
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| Deposited On: | 05 Oct 2007 |
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| Journal or Publication Title: | International Journal of Mathematics |
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| Publisher: | World Scientific Publishing |
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| Refereed: | Yes |
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