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.

引用

页码：908 / 945

页数：38