一类Cartan域直积构成底空间的Hartogs域度量比较定理  

Comparison theorem for a class of Hartogs domain whose base space is a product of Cartan domain

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236037

出　　处：《阜阳师范学院学报（自然科学版）》2016年第2期4-6,23,共4页Journal of Fuyang Normal University(Natural Science)

基　　金：阜阳师范学院校级自然科学项目(2014FSKJ11)资助

摘　　要：研究由第二类Cartan域直积构成底空间的Hartogs域,通过计算这一类域上的全纯截曲率,对其进行估计得到其有负上界的结果,这样便可以得到该域上Einstein-K?hler度量和Kobayashi度量的比较定理。A class of Hartogs domain whose base space is a direct product of the second class of Cartan domain was discussed to obtain that the holomorphic sectional curvature have negative upper bound. Furthermore the comparison theorem between Einstein-Kahler metric and Kobayashi metric was gottenby calculating and estimating the holomorphic sectional curvature.

关 键 词：EINSTEIN-KAHLER度量 KOBAYASHI度量 全纯截曲率 比较定理 

分 类 号：O174.56[理学—数学]