Proper pseudo-holomorphic maps between strictly pseudoconvex regions

Details Proper pseudo-holomorphic maps between strictly pseudoconvex regions Proper pseudo-holomorphic maps between strictly pseudoconvex regions

2006-12-06

arxiv.org/abs/math/0612150v2

Mathematics

Complex Variables

19 pages, 1 figure, added reference for section 5.2 and slight improvement of the smoothness

Scientific paper

We prove that proper pseudo-holomorphic maps between strictly pseudoconvex regions in almost complex manifolds extend to the boundary. The key point is that the Jacobian is far from zero near the boundary, and the proof is mainly based on an almost complex analogue of the scaling method. We also establish a link between the regularity of the extension and the regularity of the almost complex structures, and we determine explicit estimates for the H\"olderian norms. As a corollary, we get in the smooth case a necessary and sufficient condition on the almost complex structure of the target's space for the smooth extension of proper pseudo-holomorphic maps.

Affiliated with

Also associated with

No associations

Rating

Proper pseudo-holomorphic maps between strictly pseudoconvex regions 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 Proper pseudo-holomorphic maps between strictly pseudoconvex regions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Proper pseudo-holomorphic maps between strictly pseudoconvex regions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-452814