期刊论文

Equivalence of the Khler-Einstein metric and the Bergman metric on super-Cartan domain of the first type

中文

安徽大学学报(自然科学版)

1000-2162

2011

35

2

16-18

10.3969/j.issn.1000-2162.2011.02.003

湖南省自然科学基金资助项目（09JJ6004）； 湖南省教育厅青年基金资助项目（08B010）；

本校为第一机构

进一步讨论了第一类超Cartan域上Khler-Einstein度量与Bergman度量的等价问题.运用Khler-Einstein度量与Bergman度量的显表达式以及连续函数的一些性质,得到了第一类超Cartan域上这两类度量等价的简单证明.

In this paper,we made a further discussion on the equivalence of the Khler-Einstein metric and the Bergman metric on Super-Cartan domain of the first type.Using the explicit formula of the Khler-Einstein metric,the Bergman metric and some properties of continuous functions,we got a simple proof of the equivalence of this class of metrics on ...