The Continuity Equation of the Gauduchon Metrics

2020/04/14 by Zheng, Tao
#32W20 #35J60 #53C55 #58J05 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2004.06335

Abstract

We study the continuity equation of the Gauduchon metrics and establish its interval of maximal existence, which extends the continuity equation of the Kähler metrics introduced by La Nave & Tian for and of the Hermitian metrics introduced by Sherman & Weinkove. Our method is based on the solution to the Gauduchon conjecture by Székelyhidi, Tosatti & Weinkove.

Related

• Semilinear equations, the γ_k function, and generalized Gauduchon metrics
• Singular Gauduchon Conjecture
• The continuity method on minimal elliptic Kähler surfaces
• On generalized Gauduchon metrics
• On the existence of constant scalar curvature Kähler metric: a new perspective