On the problem of Kähler convexity in the Bergman metric

DOI10.1307/mmj/1100623412zbMath1083.32029OpenAlexW2024621905MaRDI QIDQ1766483

Gregor Herbort

Publication date: 7 March 2005

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1100623412

zbMATH Keywords

Bergman metricKähler convexitysmooth bounded weakly pseudoconvex domain of finite type

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Kähler manifolds (32Q15) Finite-type domains (32T25) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items (1)

The Szegő metric associated to Hardy spaces of Clifford algebra valued functions and some geometric properties

Cites Work

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• \(L^2\) harmonic forms on some complete Kähler manifolds
• \(L^ 2\)-cohomology and index theorem for the Bergman metric
• Estimates of invariant metrics on pseudoconvex domains of dimension two
• Estimates on the Bergman kernels of convex domains
• \(L_ 2\) cohomology of pseudoconvex domains with complete Kähler metric
• \(L_ 2\) cohomology of the Bergman metric for weakly pseudoconvex domains
• On the extension of \(L^ 2\) holomorphic functions. III: Negligible weights

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