The Fu-Yau equation on compact astheno-Kahler manifolds

被引：8
作者：
Chu, Jianchun [1 ]
Huang, Liding [2 ]
Zhu, Xiaohua [3 ]
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China
[2] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, Peoples R China
[3] Peking Univ, Sch Math Sci, Yiheyuan Rd 5, Beijing 100871, Peoples R China
来源：
ADVANCES IN MATHEMATICS | 2019年 / 346卷
关键词：
The Fu-Yau equation; Hermitian manifolds; Astheno-Kahler manifolds; 2-nd Hessian equation; NONLINEAR ELLIPTIC-EQUATIONS; 2ND-ORDER ESTIMATE; COMPLEX;
D O I：
10.1016/j.aim.2019.02.006
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the Fu-Yau equation on compact Hermitian manifolds and prove the existence of solutions of equation on astheno-Kaler manifolds. We also prove the uniqueness of solutions of Fu-Yau equation when the slope parameter a is negative. (C) 2019 Elsevier Inc. All rights reserved.
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页码：908 / 945
页数：38
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