摘要
Abstract 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 Kahler 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 Kahler-Einstein metric, the Caratheodary metric, and the Koboyashi metric are equivalent for Ω（μ, m）.
基金
supported by the National Natural Science Foundation of China(No.11371257)
