On the uniform estimate in the Calabi-Yau theorem. II

DOI10.1007/s11425-011-4197-6zbMath1239.32032OpenAlexW2027711805MaRDI QIDQ763639

Zbigniew Błocki

Publication date: 29 March 2012

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-011-4197-6

zbMATH Keywords

complex Monge-Ampère operatorHermitian manifolds

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Calabi-Yau theory (complex-analytic aspects) (32Q25) Complex Monge-Ampère operators (32W20)

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Cites Work

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• Estimates for the complex Monge-Ampère equation on Hermitian and balanced manifolds
• The Dirichlet problem for the complex Monge-Ampère operator: Stability in \(L^ 2\)
• The Dirichlet problem for the multidimensional Monge-Ampère equation
• The complex Monge-Ampère equation
• Monge-Ampère equations on Riemannian manifolds
• Equations of Monge-Ampère type on compact Hermitian manifolds.
• On uniform estimate in Calabi-Yau theorem
• Some sufficient conditions for solvability of the Dirichlet problem for the complex Monge-Ampère operator
• The complex Monge-Ampère equation on compact Hermitian manifolds
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• Pluripotential estimates on compact Hermitian manifolds

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