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Original Article

The Fu–Yau Equation in Higher Dimensions

Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, People's Republic of China
School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, People's Republic of China
School of Mathematical Sciences, Peking University, Yiheyuan Road 5, Beijing 100871, People's Republic of China

Dedicated to Professor Gang Tian on the occasion of his 60th birthday

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Abstract

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 Strominger system.

Keywords

The Fu–Yau equationStrominger system2-nd Hessian equation

References

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Peking Mathematical Journal
Volume 2 Issue 1,
March 2019
Pages 71-97
DOI: 10.1007/s42543-019-00016-z

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Cite this article:
Chu, J., Huang, L. & Zhu, X. The Fu–Yau Equation in Higher Dimensions. Peking Math J 2, 71-97 (2019). https://doi.org/10.1007/s42543-019-00016-z

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Received: 11 October 2018
Accepted: 08 March 2019
Published: 24 April 2019
© Peking University 2019