由第二类Cartan域直积构成底空间Hartogs域的Einstein-Khler度量  

On the Measurement of Einstein-Khler on Hartogs Domain with Base Space formed by the Direct Product of Cartan Domain of the Second Type

作　　者：叶薇薇[1] 王雪[1] 

机构地区：[1]阜阳师范学院数学与统计学院,安徽阜阳236041

出　　处：《吉林工程技术师范学院学报》2016年第6期88-91,共4页Journal of Jilin Engineering Normal University

基　　金：阜阳师范学院校级自然科学项目(2014FSKJ11)

摘　　要：研究由第二类Cartan域直积构成底空间的Hartogs域,通过引入这一类域的全纯自同构群,得到了该域的双全纯不变量,从而计算出该域上的Einstein-Khler度量生成函数隐式解,并给出了一些特殊情形下的Einstein-Khler度量的显式解.The paper presents a study on Hartogs Domain with base space formed by the direct product of cartan domain of the second type. In the study,a holomorphic automorphism group of the domain is introduced to obtain a biholomorphic invariant. On the basis,the measurement of Einstein-Khler is calculated to derive implicit solutions of the function,and some explicit solutions of the function in some special cases.

关 键 词：Einstein-Khler度量 全纯自同构群 MONGE-AMPÈRE方程 

分 类 号：O174.56[理学—数学]