Small, Anthony
(2004)
Algebraic minimal surfaces in R4.
Mathematica Scandinavica, 94 (1).
pp. 109-124.
ISSN 0025-5521
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: |
https://doi.org/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 |
| URI: |
|
| 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 |
Repository Staff Only(login required)
 |
Item control page |
Downloads per month over past year
Origin of downloads
Altmetric
Altmetric