The Spinor Representation of Minimal Surfaces

Details The Spinor Representation of Minimal Surfaces The Spinor Representation of Minimal Surfaces

1995-12-04

arxiv.org/abs/dg-ga/9512003v1

Mathematics

Differential Geometry

63 pages, dvi file only, earlier version is GANG preprint III.27 available via http://www.gang.umass.edu/

Scientific paper

The spinor representation is developed and used to investigate minimal surfaces in ${\bfR}^3$ with embedded planar ends. The moduli spaces of planar-ended minimal spheres and real projective planes are determined, and new families of minimal tori and Klein bottles are given. These surfaces compactify in $S^3$ to yield surfaces critical for the M\"obius invariant squared mean curvature functional $W$. On the other hand, all $W\!$-critical spheres and real projective planes arise this way. Thus we determine at the same time the moduli spaces of $W\!$-critical spheres and real projective planes via the spinor representation.

Affiliated with

Also associated with

No associations

Rating

The Spinor Representation of Minimal Surfaces 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 The Spinor Representation of Minimal Surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Spinor Representation of Minimal Surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-583464