A remark on the completeness of the Bergman metric
A remark on the completeness of the Bergman metric
1. Introduction.The purpose of this note is to prove the fol- lowing theorem by modifying the argument in a recent work of P.Pflug (cf. [4]).Theorem 1.Let D be a bounded pseudoconvex domain in C with a Cl-smooth boundary.Then D is complete with respect to 32 log K(z D) dz.d.d --,.z"a …