Convergence of the \(J\)-flow on Kähler surfaces

DOI10.4310/CAG.2004.v12.n4.a8zbMath1073.53092arXivmath/0306012MaRDI QIDQ1769354

Ben Weinkove

Publication date: 21 March 2005

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0306012

zbMATH Keywords

Kähler manifoldKähler surfaceparabolic flow

Mathematics Subject Classification ID

Related Items (31)

The J-flow and stability ⋮ 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 ⋮ On the \(J\)-flow in Sasakian manifolds ⋮ A type of parabolic flow with mixed hessians on compact Kähler manifolds ⋮ On the convergence of the Sasaki \(J\)-flow ⋮ On a class of fully nonlinear elliptic equations on closed Hermitian manifolds ⋮ Existence of cscK metrics on smooth minimal models ⋮ \(I\)-properness of Mabuchi's \(K\)-energy ⋮ The parabolic flows for complex quotient equations ⋮ Monge-Ampère type equations on almost Hermitian manifolds ⋮ Hessian equations of Krylov type on Kähler manifolds ⋮ A note on modified \(J\)-flow with the Calabi ansatz ⋮ Degenerate J-flow on compact Kähler manifolds ⋮ The Dirichlet problem for a complex Monge-Ampère type equation on Hermitian manifolds ⋮ Fully nonlinear elliptic equations for conformal deformations of Chern-Ricci forms ⋮ A numerical criterion for generalised Monge-Ampère equations on projective manifolds ⋮ \(C^{2,\alpha}\) estimates for nonlinear elliptic equations in complex and almost complex geometry ⋮ On a class of fully nonlinear elliptic equations on Hermitian manifolds ⋮ Slope stability and exceptional divisors of high genus ⋮ A criterion for the properness of the \(K\)-energy in a general Kähler class ⋮ On the convergence and singularities of the J‐Flow with applications to the Mabuchi energy ⋮ A priori estimates for Donaldson's equation over compact Hermitian manifolds ⋮ Parabolic complex Monge-Ampère type equations on closed Hermitian manifolds ⋮ Greatest lower bounds on the Ricci curvature of Fano manifolds ⋮ The \(J\)-flow on toric manifolds ⋮ Existence of twisted constant scalar curvature Kähler metrics with a large twist ⋮ A criterion for the properness of the K-energy in a general Kähler class (II) ⋮ Convergence of general inverse $\sigma _k$-flow on Kähler manifolds with Calabi ansatz ⋮ Hessian equations of Krylov type on compact Hermitian manifolds ⋮ \(C^{2,\alpha}\) regularities and estimates for nonlinear elliptic and parabolic equations in geometry

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