Transforms for minimal surfaces in the 5-sphere
Differential Geometry
2007-05-23 v1
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. We illustrate this explicitly in the case of bipolar minimal surfaces.
Cite
@article{arxiv.math/0502370,
title = {Transforms for minimal surfaces in the 5-sphere},
author = {J. Bolton and L. Vrancken},
journal= {arXiv preprint arXiv:math/0502370},
year = {2007}
}