摘要
Let D = D（K） = {z = （z1, z2, …, zn） = （z1, Z） ∈ Cn| |z1|2K + |z|2 < 1, K > 0, K ≠ 1}. The author has proved that the Khler metric, which is generated by the Ki（z, ） = （1 — | Z|2）-n+（n-j）/K[（1 — |Z|2）1/K - |z1|2]-（n+1）+j（0 ≤ j ≤ n）, is invariant on D under the Aut （D） ——the full group of the analytic automorphisms of D. Now,
基金
Project supported by the National Natural Science Foundat/on ot China
