Transforms for minimal surfaces in the 5-sphere

Details Transforms for minimal surfaces in the 5-sphere Transforms for minimal surfaces in the 5-sphere

2005-02-17

arxiv.org/abs/math/0502370v1

Mathematics

Differential Geometry

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Transforms for minimal surfaces in the 5-sphere does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Transforms for minimal surfaces in the 5-sphere, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Transforms for minimal surfaces in the 5-sphere will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-97443