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| Invariant Metrics and Laplacians on Siegel-Jacobi Disk |
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Citation： |
Jae-Hyun YANG.Invariant Metrics and Laplacians on Siegel-Jacobi Disk[J].Chinese Annals of Mathematics B,2010,31(1):85~100 |
| Page view： 1947
Net amount： 1255 |
Authors： |
Jae-Hyun YANG; |
Foundation： |
the Inha University Research Grant (No. 39628-1). |
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| Abstract： |
Let $\BD_n$ be the generalized unit disk of degree $n$. In this
paper, Riemannian metrics on the Siegel-Jacobi disk
$\BD_n\times\BC^{(m,n)}$ 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. |
Keywords： |
Invariant metrics, Siegel-Jacobi disk, Partial Cayley transform |
Classification： |
11Fxx, 32F45, 32M10 |
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