Invariant Metrics and Laplacians on Siegel-Jacobi Disk

• 作 者: Jae-Hyun YANG
• 机 构: Department of Mathematics
• 出 处: 数学年刊B辑（英文版）
• 发表日期: 2004年期
• 关键词: Invariant metrics Siegel-Jacobi disk Partial Cayley transform
• 基金项目: the Inha University Research Grant

Let D_n be the generalized unit disk of degree n. In this paper, Riemannian metrics on the Siegel-Jacobi disk D_n× C~(m,n) which are invariant under the natural action of the Jacobi group are found explicitly and the Laplacians of these invariant metrics are computed explicitly. These are expressed in terms of the trace form.