Generalized complex Monge-Ampère type equations on closed Hermitian manifolds

2014/12/28 by Wei Sun, Sun, Wei · 1 citation
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.1412.8192

openalex publication_date 2014/12/28 · arxiv created 2016/06/28 · arxiv updated 2016/06/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study generalized complex Monge-Ampère type equations on closed Hermitian manifolds. We derive \em a priori estimates and then prove the existence of admissible solutions. Moreover, the gradient estimate is improved.

Citations

• On uniform estimate of complex elliptic equations on closed Hermitian manifolds

Cited by

• A priori estimates for a generalised Monge-Ampère PDE on some compact Kähler manifolds

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