Invariant Metrics and Laplacians on Siegel-Jacobi Disk

作     者：Jae-Hyun YANG Jae-Hyun YANGDepartment of Mathematics,Inha University,Incheon 402-751,Republic of Korea.

作者机构：Department of Mathematics Inha University Incheon 402-751 Republic of Korea 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2010年第31卷第1期

页      面：85-100页

核心收录：

学科分类：07[理学] 08[工学] 0701[理学-数学] 081201[工学-计算机系统结构] 070101[理学-基础数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：supported by the Inha University Research Grant (No. 39628-1) 

主　　题：Invariant metrics Siegel-Jacobi disk Partial Cayley transform 

摘      要：Let D n be the generalized unit disk of degree *** 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 *** are expressed in terms of the trace form.