The Spinor Representation of Minimal Surfaces
| dc.creator | Kusner, Rob | |
| dc.creator | Schmitt, Nick | |
| dc.date | 1995-12-04 | |
| dc.date.accessioned | 2026-07-07T09:12:39Z | |
| dc.date.available | 2026-07-07T09:12:39Z | |
| dc.description | 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 Möbius 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. | |
| dc.description | 63 pages, dvi file only, earlier version is GANG preprint III.27 available via http://www.gang.umass.edu/ | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9512003 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9512003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152093 | |
| dc.subject | Differential Geometry | |
| dc.title | The Spinor Representation of Minimal Surfaces | |
| dc.type | text |