Completeness of the Bergman metric on non-smooth pseudoconvex domains

Bo Chen

ArticleOriginal scientific text

Title

Completeness of the Bergman metric on non-smooth pseudoconvex domains

Authors ¹

Affiliations

Institute of Mathematics Fudan University Shanghai 200433 P.R. China

Abstract

We prove that the Bergman metric on domains satisfying condition S is complete. This implies that any bounded pseudoconvex domain with Lipschitz boundary is complete with respect to the Bergman metric. We also show that bounded hyperconvex domains in the plane and convex domains in

ℂ^{n}

are Bergman comlete.

Keywords

ENG

Bergman metric

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Title

Completeness of the Bergman metric on non-smooth pseudoconvex domains

Affiliations

Abstract

Keywords

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