An application of a C²-estimate for a complex Monge-Ampère equation

2020/11/27 by Li Chang, Li, Chang, Lei Ni +3 · 2 citations
Mathematics · #32Q10 #32Q15 #32W20 #53C55 #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2011.13508

openalex publication_date 2020/11/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

By studying a complex Monge-Ampère equation, we present an alternate proof to a recent result of Chu-Lee-Tam concerning the projectivity of a compact Kähler manifold Nⁿ with \Ric_k< 0 for some integer k with 1

Cited by

• Hermitian manifolds with nonpositive holomorphic sectional curvature
• Remark on quasi-negative k-Ricci curvature

Related

• A \mathcal C^2,α estimate of the complex Monge-Ampère equation
• The complex Monge-Ampere equation on compact Kaehler manifolds
• Characterizing the range of the complex Monge-Ampère operator
• The \mathcal C^2,α estimate of complex Monge-Ampere equation
• Generalized Monge-Ampère capacities