A new flow solving the LYZ equation in Kähler geometry (Q6593662)

scientific article; zbMATH DE number 7902286

Language	Label	Description	Also known as
English	A new flow solving the LYZ equation in Kähler geometry	scientific article; zbMATH DE number 7902286

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instance of

scholarly article

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title

A new flow solving the LYZ equation in Kähler geometry (English)

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Journal of Differential Geometry

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publication date

27 August 2024

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MaRDI profile type

Publication

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cites work

Deformation of Kähler metrics to Kähler-Einstein metrics on compact Kähler manifolds

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The J-equation and the supercritical deformed Hermitian-Yang-Mills equation

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The space of almost calibrated \((1,1)\)-forms on a compact Kähler manifold

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A Nakai-Moishezon type criterion for supercritical deformed Hermitian-Yang-Mills equation

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\((1,1)\) forms with specified Lagrangian phase: \textit{a priori} estimates and algebraic obstructions

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Concavity of the Lagrangian phase operator and applications

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Moment maps, nonlinear PDE and stability in mirror symmetry. I: Geodesics

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Classical solutions of fully nonlinear, convex, second-order elliptic equations

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Singular Kähler-Einstein metrics

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

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Convergence of the parabolic complex Monge-Ampère equation on compact Hermitian manifolds

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Second-order estimates and regularity for fully nonlinear elliptic equations on Riemannian manifolds

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A rigidity theorem for the deformed Hermitian-Yang-Mills equation

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Stability of line bundle mean curvature flow

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An \(\varepsilon \)-regularity theorem for line bundle mean curvature flow

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A second order estimate for complex Hess equations on a compact Kähler manifold

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The deformed Hermitian-Yang-Mills equation on almost Hermitian manifolds

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A special Lagrangian type equation for holomorphic line bundles

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From special Lagrangian to Hermitian-Yang-Mills via Fourier-Mukai transform.

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The deformed Hermitian-Yang-Mills equation, the Positivstellensatz, and the solvability

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Fully non-linear parabolic equations on compact Hermitian manifolds

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The deformed Hermitian Yang-Mills equation on three-folds

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On the convergence and singularities of the <i>J</i>‐Flow with applications to the Mabuchi energy

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Fully non-linear elliptic equations on compact Hermitian manifolds

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Tan-concavity property for Lagrangian phase operators and applications to the tangent Lagrangian phase flow

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Collapsing of the line bundle mean curvature flow on Kähler surfaces

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Existence and degeneration of Kähler-Einstein metrics on minimal algebraic varieties of general ype

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Hessian estimates for special Lagrangian equations with critical and supercritical phases in general dimensions

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On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I

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Global solutions to special Lagrangian equations

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On degenerate Monge-Ampere equations over closed Kahler manifolds

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Identifiers

Mathematics Subject Classification ID

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10.4310/JDG/1721075261

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Sitelinks

Mathematics(1 entry)

mardi Publication:6593662