English

An existence theorem for stationary discs in almost complex manifolds

Complex Variables 2007-05-23 v1 Symplectic Geometry

Abstract

An existence theorem for stationary discs of strongly pseudoconvex domains in almost complex manifolds is proved. More precisely, it is shown that, for all points of a suitable neighborhood of the boundary and for any vector belonging to certain open subsets of the tangent spaces there exists a unique stationary disc passing through that point and tangent to the given vector.

Keywords

Cite

@article{arxiv.math/0502121,
  title  = {An existence theorem for stationary discs in almost complex manifolds},
  author = {Andrea Spiro and Alexandre Sukhov},
  journal= {arXiv preprint arXiv:math/0502121},
  year   = {2007}
}

Comments

18 pages

R2 v1 2026-07-22T17:15:18.796Z