A new flow solving the LYZ equation in Kähler geometry
type: Item
instance of: scholarly article
title: A new flow solving the LYZ equation in Kähler geometry
author: Jixiang Fu
author: Shing-Tung Yau
author: Dekai Zhang
published in: Journal of Differential Geometry
publication date: 2024-08-27T00:00:00Z
Mathematics Subject Classification ID: 53-XX
zbMATH DE Number: 7902286
MaRDI profile type: Publication
cites work: Deformation of Kähler metrics to Kähler-Einstein metrics on compact Kähler manifolds
cites work: The J-equation and the supercritical deformed Hermitian-Yang-Mills equation
cites work: The space of almost calibrated \((1,1)\)-forms on a compact Kähler manifold
cites work: A Nakai-Moishezon type criterion for supercritical deformed Hermitian-Yang-Mills equation
cites work: \((1,1)\) forms with specified Lagrangian phase: \textit{a priori} estimates and algebraic obstructions
cites work: Concavity of the Lagrangian phase operator and applications
cites work: Moment maps, nonlinear PDE and stability in mirror symmetry. I: Geodesics
cites work: Classical solutions of fully nonlinear, convex, second-order elliptic equations
cites work: Singular Kähler-Einstein metrics
cites work: The \(J\)-flow on Kähler surfaces: a boundary case
cites work: Convergence of the parabolic complex Monge-Ampère equation on compact Hermitian manifolds
cites work: Second-order estimates and regularity for fully nonlinear elliptic equations on Riemannian manifolds
cites work: A rigidity theorem for the deformed Hermitian-Yang-Mills equation
cites work: Stability of line bundle mean curvature flow
cites work: An \(\varepsilon \)-regularity theorem for line bundle mean curvature flow
cites work: A second order estimate for complex Hess equations on a compact Kähler manifold
cites work: The deformed Hermitian-Yang-Mills equation on almost Hermitian manifolds
cites work: A special Lagrangian type equation for holomorphic line bundles
cites work: From special Lagrangian to Hermitian-Yang-Mills via Fourier-Mukai transform.
cites work: The deformed Hermitian-Yang-Mills equation, the Positivstellensatz, and the solvability
cites work: Fully non-linear parabolic equations on compact Hermitian manifolds
cites work: The deformed Hermitian Yang-Mills equation on three-folds
cites work: On the convergence and singularities of the J‐Flow with applications to the Mabuchi energy
cites work: Fully non-linear elliptic equations on compact Hermitian manifolds
cites work: Tan-concavity property for Lagrangian phase operators and applications to the tangent Lagrangian phase flow
cites work: Collapsing of the line bundle mean curvature flow on Kähler surfaces
cites work: Existence and degeneration of Kähler-Einstein metrics on minimal algebraic varieties of general ype
cites work: Hessian estimates for special Lagrangian equations with critical and supercritical phases in general dimensions
cites work: On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
cites work: Global solutions to special Lagrangian equations
cites work: On degenerate Monge-Ampere equations over closed Kahler manifolds
DOI: 10.4310/JDG/1721075261
description: scientific article; zbMATH DE number 7902286