English

Distributions associated to almost complex structures on symplectic manifolds

Symplectic Geometry 2020-02-07 v1

Abstract

We look at methods to select triples (M,ω,J)(M,\omega,J) consisting of a symplectic manifold (M,ω)(M,\omega) endowed with a compatible positive almost complex structure JJ, in terms of the Nijenhuis tensor NJN^J associated to JJ. We study in particular the image distribution \ImageNJ\Image N^J.

Cite

@article{arxiv.2002.02335,
  title  = {Distributions associated to almost complex structures on symplectic manifolds},
  author = {Michel Cahen and Maxime Gérard and Simone Gutt and Manar Hayyani},
  journal= {arXiv preprint arXiv:2002.02335},
  year   = {2020}
}
R2 v1 2026-06-23T13:33:12.744Z