【摘要】 讨论了Cartan-Hartogs域上Khler-Einstein度量的显表达式以及该度量与Bergman度量的等价性问题。得到了Cartan-Hartogs域上Khler-Einstein度量显表达式的统一公式。运用该公式与连续函数的性质以及Bergman度量显表达式的一个统一公式,得到了这类域上Khler-Einstein度量和Bergman度量等价性的统一证明。更多还原

【Abstract】 The explicit formula of Khler-Einstein metric and the equivalence of the Khler-Einstein metric and the Bergman metric on Cartan-Hartogs domains are discussed.A unified explicit formula of Khler-Einstein metrics on Cartan-Hartogs domains is given.Using this formula and a nature of continuous functions and the unified explicit formula of Bergman metrics,a unified proof of the equivalence of the Khler-Einstein metric and the Bergman metric on Cartan-Hartogs domains is obtained.更多还原