Local properties of J-complex curves in Lipschitz-continuous structures

Details Local properties of J-complex curves in Lipschitz-continuous structures Local properties of J-complex curves in Lipschitz-continuous structures

2007-07-05

arxiv.org/abs/0707.0771v4

Mathematics

Complex Variables

Minor corrections and improvements. One example added. To appear in Math. Zeitschrift.

Scientific paper

We prove the existence of primitive curves and positivity of intersections of $J$-complex curves for Lipschitz-continuous almost complex structures. These results are deduced from the Comparison Theorem for $J$-holomorphic maps in Lipschitz structures, previously known for $J$ of class $C^{1, Lip}$. We also give the optimal regularity of curves in Lipschitz structures. It occurs to be $C^{1,LnLip}$, i.e. the first derivatives of a $J$-complex curve for Lipschitz $J$ are Log-Lipschitz-continuous. A simple example that nothing better can be achieved is given. Further we prove the Genus Formula for $J$-complex curves and determine their principal Puisieux exponents (all this for Lipschitz-continuous $J$-s).

Affiliated with

Also associated with

No associations

Rating

Local properties of J-complex curves in Lipschitz-continuous structures 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 Local properties of J-complex curves in Lipschitz-continuous structures, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Local properties of J-complex curves in Lipschitz-continuous structures will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-569005