Invariant metrics and Laplacians on Siegel-Jacobi disk
نویسندگان
چکیده
منابع مشابه
Invariant Metrics and Laplacians on Siegel-jacobi Disk
Abstract. Let Dn be the generalized unit disk of degree n. In this paper, we find Riemannian metrics on the Siegel-Jacobi disk Dn × C (m,n) which are invariant under the natural action of the Jacobi group explicitly and also compute the Laplacians of these invariant metrics explicitly. These are expressed in terms of the trace form. We give a brief remark on the theory of harmonic analysis on t...
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In this paper, we compute Riemannian metrics on the Siegel-Jacobi space which are invariant under the natural action of the Jacobi group explicitly and also provide the Laplacians of these invariant metrics. These are expressed in terms of the trace form.
متن کاملInvariant Metrics and Laplacians
Let Dn be the generalized unit disk of degree n. In this paper, we compute Riemannian metrics on Dn × C (m,n) which are invariant under the natural action of the Jacobi group explicitly and also provide the Laplacians of these invariant metrics. These are expressed in terms of the trace form.
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ژورنال
عنوان ژورنال: Chinese Annals of Mathematics, Series B
سال: 2009
ISSN: 0252-9599,1860-6261
DOI: 10.1007/s11401-008-0348-7