The Space of Harmonic Maps from the 2-sphere to the Complex Projective Plane
| dc.creator | Crawford, T. Arleigh | |
| dc.date | 1995-12-05 | |
| dc.date.accessioned | 2026-07-07T09:12:39Z | |
| dc.date.available | 2026-07-07T09:12:39Z | |
| dc.description | We study the topology of the space of harmonic maps from $S^2$ to \CP 2$. We prove that the subspaces consisting of maps of a fixed degree and energy are path connected. By a result of Guest and Ohnita it follows that the same is true for the space of harmonic maps to $\CP n$ for $n\geq 2$. We show that the components of maps to $\CP 2$ are complex manifolds. | |
| dc.description | Plain TeX, 11 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9512004 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9512004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152094 | |
| dc.subject | Differential Geometry | |
| dc.title | The Space of Harmonic Maps from the 2-sphere to the Complex Projective Plane | |
| dc.type | text |