Abstract This paper gencralizes the result about linear isometries of S~ spaces given by W.P.Novinger and D.M.Oberlin[2]for the unite dise of C to the bounded symmetric domains of C^n
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...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）.展开更多
文摘Abstract This paper gencralizes the result about linear isometries of S~ spaces given by W.P.Novinger and D.M.Oberlin[2]for the unite dise of C to the bounded symmetric domains of C^n
基金supported by the National Natural Science Foundation of China(No.11371257)
文摘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）.
