Estimate of the Einstein-Kähler metric on a weakly pseudoconvex domain in \(\mathbb{C}^ 2\)

DOI10.1007/PL00004570zbMath0867.32002MaRDI QIDQ5961421

Wei Wang

Publication date: 8 April 1997

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174935

zbMATH Keywords

Einstein-Kähler metricBergman metricMonge-Ampére equationweakly pseudoconvex domain of finite type

Mathematics Subject Classification ID

Local differential geometry of Hermitian and Kählerian structures (53B35) Pseudoconvex domains (32T99)

Related Items (2)

Estimates of Kähler-Einstein metrics on pseudoconvex domains of finite type with locally diagonalizable Levi form ⋮ ON DISCONTINUITY OF THE BERGMAN KERNEL FUNCTION

Cites Work

• The Einstein-Kähler metric on \(\{| z| ^ 2+| w| ^{2p}<1\}\)
• Estimates of invariant metrics on pseudoconvex domains of dimension two
• Estimates for the Bergman and Szegö kernels in \({\mathbb{C}}^ 2\)
• Boundary behavior of the Bergman kernel function in \({\mathbb{C}}^ 2\)
• Boundary behaviour of the complex Monge-Ampère equation
• Monge-Ampère equations, the Bergman kernel, and geometry of pseudoconvex domains
• Homolomorphic Sectional Curvature of Some Pseudoconvex Domains
• Boundary Behavior of the Bergman Kernel Function on some Pseudoconvex Domains in ℂ n
• On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of fefferman's equation

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