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 ...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.展开更多
基金supported by the Inha University Research Grant (No. 39628-1)
文摘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.