一类Reinhardt域的群不变函数与不变Kahler度量

Invariant Functions and Invariant Kahler Metrics on a Class of Reinhardt Domain

本文把［１］的结果推广到更广泛的一类Ｒｅｉｎｈａｒｄｔ域Ｄ＝Ｄ（ｋ１ｋ２…ｋｐ） Ｃ（１≤ｐ＜ｎ），即利用Ｄ的解析自同构群Ａｕｔ（Ｄ）下不变函数给出了域Ｄ在Ａｕｔ（Ｄ）下不变的Ｋａｈｌｅｒ度量．

In this paper the result in literature [1]is generalized to Reinhardt domain D= (k1,k2, ......kp)(1≤p<n) Cn.That is, Let Aut(D) be the holomorphic automorphism group of Reinhardt domain D. By using the invariant functions under Aut(D),invariant Kahler metrics on D under Aut(D)are given.