Pseudoholomorphic Curves in Nearly Kahler $\mathbf{CP}^3$
| dc.creator | Xu, Feng | |
| dc.date | 2006-05-29 | |
| dc.date.accessioned | 2026-07-07T07:14:37Z | |
| dc.date.available | 2026-07-07T07:14:37Z | |
| dc.description | We study pseudoholomorphic curves in the nearly Kalher $\mathbf{CP}^3$. It is shown that a class of curves called null-torsion are in one to one correspondence with the integrals of a holomorphic contact system on the usual Kahler $\mathbb{CP}^3$ studied by Bryant. Browing Bryant's result we get plenty of such curves. Rational curves are shown to be either vertical or horizontal or null-torsion. Both horizontal and null-torsion curves can be understood by mentioned Bryant's results while vertical curves are just fibers of the twistor fibration. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/math/0605736 | |
| dc.identifier | http://arxiv.org/abs/math/0605736 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/112949 | |
| dc.subject | Differential Geometry | |
| dc.title | Pseudoholomorphic Curves in Nearly Kahler $\mathbf{CP}^3$ | |
| dc.type | text |