English

Diffeomorphisms of Stein structures

Complex Variables 2007-05-23 v1

Abstract

We prove that a pseudoholomorphic diffeomorphism between two almost complex manifolds with boundaries satisfying some pseudoconvexity type condition cannot map a pseudoholomorphic disc in the boundary to a single point. This can be viewed as an almost complex analogue of a well-known theorem of J. E. Fornaess.

Keywords

Cite

@article{arxiv.math/0603416,
  title  = {Diffeomorphisms of Stein structures},
  author = {Klas Diederich and Alexandre Sukhov},
  journal= {arXiv preprint arXiv:math/0603416},
  year   = {2007}
}