Completeness of the Bergman metric on non-smooth pseudoconvex domains

• Autorzy: Bo-Yong Chen
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Bergman metric

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1999
• Tom: 71
• Numer: 3
• Strony: 241-251

Daty

wydano

1999

otrzymano

1998-01-28

poprawiono

1998-11-19

Twórcy

autor

Bo-Yong Chen

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

Bibliografia

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