English

Existence and stability of foliations by J-holomorphic spheres

Symplectic Geometry 2008-11-21 v1

Abstract

We study the existence and stability of holomorphic foliations in dimension greater than 4 under perturbations of the underlying almost complex structure. An example is given to show that, unlike in dimension 4, J-holomorphic foliations are not stable under large perturbations of almost complex structure.

Keywords

Cite

@article{arxiv.0811.3397,
  title  = {Existence and stability of foliations by J-holomorphic spheres},
  author = {R. Hind and J. von Bergmann},
  journal= {arXiv preprint arXiv:0811.3397},
  year   = {2008}
}