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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 |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/716 |
| 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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