底空间为对称域乘积的Hartogs域的度量等价  

Metric Equivalence of Hartogs Domains Whose Base Space Is a Product of Symmetric Domain

作　　者：王安[1] 李志强[1] 

机构地区：[1]首都师范大学数学科学学院,北京100048

出　　处：《数学学报（中文版）》2013年第6期871-888,共18页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(11071171);北京自然科学基金资助项目(1122010)

摘　　要：研究一类非齐性Hartogs域上经典度量的等价问题.首先证明了Bergman-度量和Einstein-Khler度量在这类域上等价;其次,当域的参数满足mσ+nΤ<1时,此类域上Bergman度量,Carathéodary度量,Kobalyashi度量和Einstein-Khler度量是等价的.We study the equivalent problem of the classical metric on a class of non- homogeneous Hartogs domain. Firstly, it is proved that the equivalence between the Bergman and the Einstein-Kahler metrics on these domains; Secondly, it is shown that the Bergman metric, the Carathaodary metric, the Kobayashi metric and the Einstein- Kahler metric are equivalent, when parameters of the domain satisfy ma ＋ nT 〈 1.

关 键 词：BERGMAN度量 EINSTEIN-KAHLER度量 KOBAYASHI度量 Carathéodary度量 

分 类 号：O174.56[理学—数学]