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arXiv · 1501.00629

Curvature and integrability of almost complex structures

Jianming Wan
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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.

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Jianming Wan. 2015-01-04. Curvature and integrability of almost complex structures. https://arxiv.org/abs/1501.00629

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