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math.DG2018★ 4 cited
The Fu-Yau equation on compact astheno-Kähler manifolds
Jianchun Chu, Liding Huang, Xiaohua Zhu
In this paper, we study the Fu-Yau equation on compact Hermitian manifolds and prove the existence of solutions of equation on astheno-Kähler manifolds. We also prove the uniquenes…
math.DG2018★ 6 cited
The Fu-Yau equation in higher dimensions
Jianchun Chu, Liding Huang, Xiaohua Zhu
In this paper, we prove the existence of solutions to the Fu-Yau equation on compact Kähler manifolds. As an application, we give a class of non-trivial solutions of the modified S…