Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606401 | Differential Geometry and its Applications | 2009 | 13 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
J. Bolton, L. Vrancken,