On the space of harmonic $2$-spheres in ${\bf C}P^2$
| dc.creator | Lemaire, L. | |
| dc.creator | Wood, J. C. | |
| dc.date | 1995-10-06 | |
| dc.date | 1996-03-12 | |
| dc.date.accessioned | 2026-07-07T08:59:09Z | |
| dc.date.available | 2026-07-07T08:59:09Z | |
| dc.description | Carrying further work of T.A. Crawford, we show that each component of the space of harmonic maps from the $2$-sphere to complex projective $2$-space of degree $d$ and energy $4 πE$ is a smooth closed submanifold of the space of all $C^j$ maps $(j \geq 2)$. We achieve this by showing that the Gauss transform which relates them to spaces of holomorphic maps of given degree and ramification index is {\bf smooth} and has {\bf injective differential}. | |
| dc.description | Minor revision to take into account improved result of T.A. Crawford. Abstract and p. 2 changed plus some typos corrected. 15 pages. Latex 2.09 To appear in Internat. J. Math | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9510003 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9510003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/147602 | |
| dc.subject | Differential Geometry | |
| dc.title | On the space of harmonic $2$-spheres in ${\bf C}P^2$ | |
| dc.type | text |