Canonical metrics on generalized Cartan-Hartogs domains

被引：0
作者：
Yihong Hao
机构：
[1] Northwest University,Department of Mathematics
来源：
Chinese Annals of Mathematics, Series B | 2016年 / 37卷
关键词：
Canonical metric; Extremal metric; Comparison theorem; Generalized Cartan-Hartogs domains; 32A07; 32F45; 32Q15;
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学科分类号：
摘要：
In this paper, the author considers a class of bounded pseudoconvex domains, i.e., the generalized Cartan-Hartogs domains Ω(μ, m). The first result is that the natural Kähler metric gΩ(μ, m) of Ω(μ, m) is extremal if and only if its scalar curvature is a constant. The second result is that the Bergman metric, the Kähler-Einstein metric, the Carathéodary metric, and the Koboyashi metric are equivalent for Ω(μ, m).
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页码：357 / 366
页数：9
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