Curvature and integrability of almost complex structures
Differential Geometry
2016-10-27 v3
Abstract
This note is concerned in so called harmonic complex structures introduced by the author previously. I will recall some previous results and emphasize the motivation: Provide an attempt to a fundamental problem in geometry--determining the complex structures on an almost complex manifold. I also discuss the almost-Hermitian case of harmonic complex structures and the connections with balanced structures.
Cite
@article{arxiv.1501.00629,
title = {Curvature and integrability of almost complex structures},
author = {Jianming Wan},
journal= {arXiv preprint arXiv:1501.00629},
year = {2016}
}
Comments
to appear in Pure and Applied Mathematics Quarterly