Bolton, J. and Vrancken, L. (2009) 'Transforms for minimal surfaces in the 5-sphere.', Differential geometry and its applications., 27 (1). pp. 34-46.
Abstract
We define two transforms between minimal surfaces with non-circular ellipse of curvature in the 5-sphere, and show how this enables us to construct, from one such surface, a sequence of such surfaces. We also use the transforms to show how to associate to such a surface a corresponding ruled minimal Lagrangian submanifold of complex projective 3-space, which gives the converse of a construction considered in a previous paper, and illustrate this explicitly in the case of bipolar minimal surfaces.
| Item Type: | Article |
|---|---|
| Keywords: | Sphere, Minimal surface, Ellipse of curvature, Lagrangian submanifold, Complex projective space. |
| Full text: | (AM) Accepted Manuscript Download PDF (198Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | http://dx.doi.org/10.1016/j.difgeo.2008.06.005 |
| Date accepted: | No date available |
| Date deposited: | 15 February 2008 |
| Date of first online publication: | 28 October 2007 |
| Date first made open access: | No date available |
Save or Share this output
| Export: | |
| Look up in GoogleScholar |
