Pseudoholomorphic Curves in Nearly Kahler $\mathbf{CP}^3$

Details Pseudoholomorphic Curves in Nearly Kahler $\mathbf{CP}^3$ Pseudoholomorphic Curves in Nearly Kahler $\mathbf{CP}^3$

2006-05-29

arxiv.org/abs/math/0605736v1

Mathematics

Differential Geometry

8 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Pseudoholomorphic Curves in Nearly Kahler $\mathbf{CP}^3$ 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 Pseudoholomorphic Curves in Nearly Kahler $\mathbf{CP}^3$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Pseudoholomorphic Curves in Nearly Kahler $\mathbf{CP}^3$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-467332