Parabolic Flow for Generalized complex Monge-Ampère type equations

2015/01/18 by Wei Sun, Sun, Wei
Mathematics · #Algebraic Geometry and Number Theory #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.AP #math.DG

paper · pdf · doi:10.48550/arxiv.1501.04255

arxiv created 2015/01/18 · openalex publication_date 2015/01/18 · arxiv updated 2015/01/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the parabolic flow for generalized complex Monge-Ampère type equations on closed Hermitian manifolds. We derive \em a priori C^∞ estimates for normalized solutions, and then prove the C^∞ convergence.

Citations

• On uniform estimate of complex elliptic equations on closed Hermitian manifolds
• The Dirichlet problem for nonlinear second order elliptic equations, III: Functions of the eigenvalues of the Hessian

Related

• Parabolic Complex Monge-Ampère Type Equations on Closed Hermitian Manifolds
• Generalized complex Monge-Ampère type equations on closed Hermitian manifolds
• Parabolic complex Monge-Ampère equations on compact Hermitian manifolds
• Parabolic complex Monge-Ampere equations on compact Kahler manifolds
• Regularity of A Complex Monge-Ampère Equation on Hermitian Manifolds