A study of variations of pseudoconvex domains via Kähler-Einstein metrics

DOI10.1007/s00209-015-1484-xzbMath1329.32011OpenAlexW2098699262MaRDI QIDQ495582

Young-Jun Choi

Publication date: 14 September 2015

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

Full work available at URL: https://doi.org/10.1007/s00209-015-1484-x

zbMATH Keywords

Kähler-Einstein metricpseudoconvex domainsfamilies of strongly pseudoconvex domainspluisubharmonic functions

Mathematics Subject Classification ID

Kähler-Einstein manifolds (32Q20) Plurisubharmonic functions and generalizations (32U05) Pseudoconvex domains (32T99) Strongly pseudoconvex domains (32T15)

Related Items (5)

Fiberwise Kähler-Ricci flows on families of bounded strongly pseudoconvex domains ⋮ Holomorphic families of strongly pseudoconvex domains in a Kähler manifold ⋮ Connection and curvature on bundles of Bergman and Hardy spaces ⋮ A curvature formula associated to a family of pseudoconvex domains ⋮ Positivity of direct images of fiberwise Ricci-flat metrics on Calabi-Yau fibrations

Cites Work

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• Variation of Bergman metrics on Riemann surfaces
• Subharmonicity properties of the Bergman kernel and some other functions associated to pseudoconvex domains
• Monge-Ampère equations, the Bergman kernel, and geometry of pseudoconvex domains
• Positivity of relative canonical bundles and applications
• Variations of Kähler-Einstein metrics on strongly pseudoconvex domains
• Dynamical construction of Kähler-Einstein metrics
• A General Schwarz Lemma for Kahler Manifolds
• Some regularity theorems in riemannian geometry
• Elliptic Partial Differential Equations of Second Order
• On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of fefferman's equation

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