Tong, Wu Invariant functions and invariant Kähler metrics on a class of Reinhardt domain. (Chinese. English summary) Zbl 0920.32003 J. Math. Study 29, No. 1, 98-105 (1996). Summary: Let \(\operatorname{Aut}(D)\) be the holomorphic automorphism group of the Reinhardt domain \(D\), \(D=\) \((k_1,k_2,\dots,k_p)\) \((1\leq p<n) \subset \mathbb{C}^n\). By using the invariant functions under \(\operatorname{Aut}(D)\), invariant Kähler metrics on \(D\) under \(\operatorname{Aut}(D)\) are given. MSC: 32A07 Special domains in \({\mathbb C}^n\) (Reinhardt, Hartogs, circular, tube) (MSC2010) 32F45 Invariant metrics and pseudodistances in several complex variables 32M05 Complex Lie groups, group actions on complex spaces Keywords:holomorphic automorphism group; Reinhardt domain; invariant functions; invariant Kähler metrics PDFBibTeX XMLCite \textit{W. Tong}, J. Math. Study 29, No. 1, 98--105 (1996; Zbl 0920.32003)