English

Hyperbolic distance to submanifolds in an almost-complex manifold

Complex Variables 2007-05-23 v2 Symplectic Geometry

Abstract

Complete hyperbolicity of small Euclidean balls with respect to a C^1-smooth almost complex structure standard at origin is improved to give a complete hyperbolicity of strictly pseudoconvex domains. More precise (and lower) regularity assumptions on almost complex structure are made also for another results.

Keywords

Cite

@article{arxiv.math/0310474,
  title  = {Hyperbolic distance to submanifolds in an almost-complex manifold},
  author = {S. Ivashkovich and J. -P. Rosay},
  journal= {arXiv preprint arXiv:math/0310474},
  year   = {2007}
}
R2 v1 2026-07-22T16:59:10.493Z