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

DOI10.1142/S0129167X21400073zbMath1484.32038arXiv2011.13508OpenAlexW3152813666MaRDI QIDQ5021420

Chang Li, Xiaohua Zhu, Lei Ni

Publication date: 13 January 2022

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.13508

zbMATH Keywords

holomorphic sectional curvaturecomplex Monge-Ampère equationKähler metriccanonical line bundle

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15) Complex Monge-Ampère operators (32W20) Positive curvature complex manifolds (32Q10)

Related Items (2)

Kähler manifolds and mixed curvature ⋮ On almost nonpositive \(k\)-Ricci curvature

Cites Work

• Negative holomorphic curvature and positive canonical bundle
• A remark on our paper ``negative holomorphic curvature and positive canonical bundle
• The Ahlfors-Schwarz lemma in several complex variables
• An extension of a theorem of Wu-Yau
• The fundamental group, rational connectedness and the positivity of Kähler manifolds
• A General Schwarz Lemma for Kahler Manifolds
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• Liouville Theorems and a Schwarz Lemma for Holomorphic Mappings Between Kähler Manifolds
• Holomorphic mappings of complex manifolds
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