The parabolic flows for complex quotient equations

DOI10.1007/s12220-018-0049-8zbMath1417.58020arXiv1712.00748OpenAlexW2963827472WikidataQ129726819 ScholiaQ129726819MaRDI QIDQ2421230

Wei Sun

Publication date: 14 June 2019

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.00748

zbMATH Keywords

parabolic flow$\mathcal{C}$-subsolutioncomplex quotient equation

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Elliptic equations on manifolds, general theory (58J05) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (1)

A type of parabolic flow with mixed hessians on compact Kähler manifolds

Cites Work

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• Convergence of the parabolic complex Monge-Ampère equation on compact Hermitian 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
• Estimates for the complex Monge-Ampère equation on Hermitian and balanced manifolds
• Deformation of Kähler metrics to Kähler-Einstein metrics on compact Kähler manifolds
• Moment maps and diffeomorphisms
• Convergence of the \(J\)-flow on toric manifolds
• Fully non-linear elliptic equations on compact Hermitian manifolds
• Convergence of the \(J\)-flow on Kähler surfaces
• A criterion for the properness of the \(K\)-energy in a general Kähler class
• On the evolution of a Hermitian metric by its Chern-Ricci form
• A second order estimate for complex Hess equations on a compact Kähler manifold
• The J-flow and stability
• Hessian equations on closed Hermitian manifolds
• On uniform estimate in Calabi-Yau theorem
• On the \(J\)-flow in higher dimensions and the lower boundedness of the Mabuchi energy
• Weak solutions to the complex Hessian equation.
• On a class of fully nonlinear elliptic equations on closed Hermitian manifolds
• Complex Monge-Ampère equations and totally real submanifolds
• On a Class of Fully Nonlinear Elliptic Equations on Closed Hermitian Manifolds II:L^∞Estimate
• Liouville and Calabi-Yau type theorems for complex Hessian equations
• On a class of fully nonlinear flows in Kähler geometry
• A Priori Estimates for Complex Monge-Ampere Equation on Hermitian Manifolds
• The complex Monge-Ampère equation on compact Hermitian manifolds
• Complex Hessian Equation on Kähler Manifold
• Fully Nonlinear, Uniformly Elliptic Equations Under Natural Structure Conditions
• On an Aleksandrov-Bakel'Man Type Maximum Principle for Second-Order Parabolic Equations
• Classical solutions of fully nonlinear, convex, second-order elliptic equations
• On the regularity theory of fully nonlinear parabolic equations: I
• On the regularity theory of fully nonlinear parabolic equations: II
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• Fully non-linear parabolic equations on compact Hermitian manifolds
• On the convergence and singularities of the J‐Flow with applications to the Mabuchi energy
• Parabolic complex Monge-Ampère type equations on closed Hermitian manifolds

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