Integrability of Rough Almost Complex Structures
Differential Geometry
2007-11-08 v2 Analysis of PDEs
Complex Variables
Abstract
We extend the Newlander-Nirenberg theorem to manifolds with almost complex structures that have somewhat less than Lipschitz regularity. We also discuss the regularity of local holomorphic coordinates in the integrable case, with particular attention to Lipschitz almost complex structures.
Cite
@article{arxiv.0710.2310,
title = {Integrability of Rough Almost Complex Structures},
author = {C. Denson Hill and Michael Taylor},
journal= {arXiv preprint arXiv:0710.2310},
year = {2007}
}