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2002 Boundary behavior of the Bergman metric
Bo-Yong Chen
Nagoya Math. J. 168: 27-40 (2002).

Abstract

Let $\Omega$ be a bounded pseudoconvex domain in ${\bf C}^n$. We give sufficient conditions for the Bergman metric to go to infinity uniformly at some boundary point, which is stated by the existence of a Hölder continuous plurisubharmonic peak function at this point or the verification of property $(P)$ (in the sense of Coman) which is characterized by the pluricomplex Green function.

Citation

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Bo-Yong Chen. "Boundary behavior of the Bergman metric." Nagoya Math. J. 168 27 - 40, 2002.

Information

Published: 2002
First available in Project Euclid: 27 April 2005

zbMATH: 1035.32001
MathSciNet: MR1942392

Subjects:
Primary: 32A25

Rights: Copyright © 2002 Editorial Board, Nagoya Mathematical Journal

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Vol.168 • 2002
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