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Small, Anthony (2004) Algebraic minimal surfaces in R4. Mathematica Scandinavica, 94 (1). pp. 109-124. ISSN 0025-5521
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Abstract
There exists a natural correspondence between null curves in C4
and "free" curves on O(1)⊕O(1); it underlies the existence of "Weierstrass type formulae" for minimal surfaces in R4. The construction determines correspondences for minimal surfaces in R3, and constant mean curvature 1 surfaces in H3; moreover it facilitates the study of symmetric minimal surfaces in R4.
| Item Type: | Article |
|---|---|
| Additional Information: | Cite as: Small, A. (2004). Algebraic minimal surfaces in . MATHEMATICA SCANDINAVICA, 94(1), 109-124. https://doi.org/10.7146/math.scand.a-14432 |
| Keywords: | Algebraic minimal surfaces; R4; null curves; |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 10099 |
| Identification Number: | 10.7146/math.scand.a-14432 |
| Depositing User: | Dr. Anthony Small |
| Date Deposited: | 15 Oct 2018 16:50 |
| Journal or Publication Title: | Mathematica Scandinavica |
| Publisher: | Aarhus University, Aarhus |
| Refereed: | Yes |
| Related URLs: | |
| URI: | https://mu.eprints-hosting.org/id/eprint/10099 |
| 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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