English

The Monge-Amp\`ere equation for non-integrable almost complex structures

Analysis of PDEs 2019-06-10 v2 Differential Geometry

Abstract

We show existence and uniqueness of solutions to the Monge-Ampere equation on compact almost complex manifolds with non-integrable almost complex structure.

Keywords

Cite

@article{arxiv.1603.00706,
  title  = {The Monge-Amp\`ere equation for non-integrable almost complex structures},
  author = {Jianchun Chu and Valentino Tosatti and Ben Weinkove},
  journal= {arXiv preprint arXiv:1603.00706},
  year   = {2019}
}

Comments

38 pages; final version to appear in JEMS

R2 v1 2026-06-22T13:02:07.250Z