Lu Qi-Keng conjectue and Hua domain

• 来源期刊: 中国科学A辑(英文版)
• 年，卷（期）: 2008,（4）
• 页码范围: 803-818
• 页数: 16页
• 语种: 英文
• DOI: 10.1007/s11425-007-0110-8

摘要

The first part of this paper discusses the motivation for the Lu Qi-Keng conjecture and the results about the presence or the absence of zeroes of the Bergman kernel function of a bounded domain in Cn.Its second part summarizes the main results on the Hua domains,such as the explicit Bergman kernel function,the comparison theorem for the invariant metrics,the explicit complete Einstein-Kahler metrics,the equivalence between the Einstein-Kahler metric and the Bergman metric,etc.