Cartan-Hartogs域上的Khler-Einstein度量  

Khler-Einstein Metric on Cartan-Hartogs Domain

作　　者：王安[1] 王明洁[1] 张利友[2] 

机构地区：[1]首都师范大学数学科学学院,北京100037 [2]中国科学院数学与系统科学研究院数学所,北京100190

出　　处：《数学进展》2009年第4期493-502,共10页Advances in Mathematics（China）

基　　金：supported by NSFC(No.10771144);BNSF(No.1082005).

摘　　要：本文考虑第一类Cartan-Hartogs域的K(a|¨)hler-Einstein度量,在某些特殊情形下得到了该完备度量的全纯截曲率的上下界。作为应用,得到了Kobayashi度量与K(a|¨)hler-Einstein度量的比较定理。In this paper, we consider the Cartan-Hartogs domain of the first type YI （r, m, n; K） which is non-homogeneous. We obtain the explicit complete Kahler-Einstein metric on YI for some special cases and get the upper and lower bounds of the holomorphic sectional curvature. As an application, we obtain the comparison theorem between Kahler-Einstein metric and Kobayashi metric.

关 键 词：Kahler—Einstein度量 KOBAYASHI度量 比较定理 

分 类 号：O174.55[理学—数学]