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The Bergman metric on complete Kähler manifolds

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Publication:1416724
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DOI10.1007/s00208-003-0456-3zbMath1039.32018OpenAlexW1994238341MaRDI QIDQ1416724

Bo-Yong Chen

Publication date: 16 December 2003

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

Full work available at URL: https://doi.org/10.1007/s00208-003-0456-3


zbMATH Keywords

Bergman completeness


Mathematics Subject Classification ID

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


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The Bergman metric on a Stein manifold with a bounded plurisubharmonic function ⋮ A Kobayashi and Bergman complete domain without bounded representations ⋮ The Szegő metric associated to Hardy spaces of Clifford algebra valued functions and some geometric properties ⋮ Properties of Carathéodory measure hyperbolic universal covers of compact Kähler manifolds ⋮ Carathéodory measure hyperbolicity and positivity of canonical bundles



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