The Fu-Yau equation on compact astheno-Kähler manifolds

2018/03/05 by Jianchun Chu, Chu, Jianchun, Liding Huang +3 · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1803.01475

openalex publication_date 2018/03/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 uniqueness of solutions of Fu-Yau equation when the slope parameter α is negative.

Citations

• Global C2‐Estimates for Convex Solutions of Curvature Equations

Cited by

• On astheno-Kähler manifolds

Related

• The Fu-Yau equation in higher dimensions
• Fu-Yau Hessian Equations
• The form-type Calabi-Yau equation on a class of complex manifolds
• The adiabatic limit of Fu-Yau equations
• The Anomaly flow and the Fu-Yau equation