Analysis of the Wu metric. I: The case of convex Thullen domains

DOI10.1090/S0002-9947-96-01642-XzbMath0872.32017OpenAlexW1670555983MaRDI QIDQ4889967

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Publication date: 22 September 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-96-01642-x

zbMATH Keywords

Kobayashi metricholomorphic curvatureThullen domainWu metric

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Invariant metrics and pseudodistances in several complex variables (32F45)

Related Items

Analysing the Wu metric on a class of eggs in \(\mathbb{C}^n\). I ⋮ About a special class of two-dimensional complex Finsler spaces ⋮ Analysing the Wu metric on a class of eggs in \(\mathbb{C}^n\). II ⋮ Asymptotic behavior of the Kobayashi metric on certain infinite-type pseudoconvex domains in \(\mathbb{C}^2\) ⋮ Complex \(n\)-dimensional manifolds with a real \(n^2\)-dimensional automorphism group ⋮ Normal analytic polyhedra in \(\mathbb{C}^2\) with a noncompact automorphism group ⋮ The Wu metric is not upper semicontinuous ⋮ Remarks on the higher dimensional Suita conjecture ⋮ Analysis of the Wu metric II: The case of non-convex Thullen domains

Cites Work

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• Domains in \(\mathbb{C}^ n\) with a piecewise Levi flat boundary which possess a noncompact automorphism group
• The Einstein-Kähler metric on \(\{| z| ^ 2+| w| ^{2p}<1\}\)
• Characterization of the unit ball in \(\mathbb{C}^n\) by its automorphism group
• Deformations of strictly pseudoconvex domains
• Boundary behavior of the Bergman curvature in strictly pseudoconvex polyhedral domains
• On Automorphisms of A Kählerian Structure
• The Bergman metric on a Thullen domain
• A General Schwarz Lemma for Kahler Manifolds
• La métrique de Kobayashi et la représentation des domaines sur la boule
• On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of fefferman's equation
• Invariant distances and metrics in complex analysis
• Holomorphic mappings of complex manifolds