The \(J\)-flow on Kähler surfaces: a boundary case

DOI10.2140/apde.2014.7.215zbMath1294.53060arXiv1204.4068OpenAlexW2050359605MaRDI QIDQ2509675

Hao Fang, Mijia Lai, Ben Weinkove, Jian Song

Publication date: 29 July 2014

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.4068

zbMATH Keywords

KählerMabuchi energy\(J\)-flowcomplex Monge-Ampère

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55)

Related Items (14)

On the existence of constant scalar curvature Kähler metric: a new perspective ⋮ A viscosity approach to the Dirichlet problem for degenerate complex Hessian-type equations ⋮ \(I\)-properness of Mabuchi's \(K\)-energy ⋮ Monge-Ampère type equations on almost Hermitian manifolds ⋮ A note on modified \(J\)-flow with the Calabi ansatz ⋮ Degenerate J-flow on compact Kähler manifolds ⋮ Collapsing of the line bundle mean curvature flow on Kähler surfaces ⋮ A numerical criterion for generalised Monge-Ampère equations on projective manifolds ⋮ On the constant scalar curvature Kähler metrics (II)—Existence results ⋮ A criterion for the properness of the \(K\)-energy in a general Kähler class ⋮ Optimal lower bounds for Donaldson's J-functional ⋮ A priori estimates for Donaldson's equation over compact Hermitian manifolds ⋮ The \(J\)-flow on toric manifolds ⋮ A criterion for the properness of the K-energy in a general Kähler class (II)

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