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The Fu-Yau equation on compact astheno-K\"ahler manifolds

Differential Geometry 2018-03-06 v1 Analysis of PDEs

Abstract

In this paper, we study the Fu-Yau equation on compact Hermitian manifolds and prove the existence of solutions of equation on astheno-K\"ahler manifolds. We also prove the uniqueness of solutions of Fu-Yau equation when the slope parameter α\alpha is negative.

Keywords

Cite

@article{arxiv.1803.01475,
  title  = {The Fu-Yau equation on compact astheno-K\"ahler manifolds},
  author = {Jianchun Chu and Liding Huang and Xiaohua Zhu},
  journal= {arXiv preprint arXiv:1803.01475},
  year   = {2018}
}

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33 pages