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THE CONSTANT CURVATURE PROPERTY OF THE WU INVARIANT METRIC

By C. K. Cheung and Kang-tae Kim

Abstract

We investigate the property of the Wuinvariant metric on a certain class of psuedoconvex domains. We show that the Wuinvariant Hermitian metric, which in general behaves as nicely as the Kobayashi metric under holomorphic mappings, enjoys the complex hyperbolic curvature property in such cases. Namely, the Wuinvariant metric is Kähler and has constant negative holomorphic curvature in a neighborhood of the spherical boundary points for a large class of domains in Cn

Year: 2009
OAI identifier: oai:CiteSeerX.psu:10.1.1.148.2384
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