Invariant Metrics and Laplacians
نویسنده
چکیده
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.
منابع مشابه
Invariant Metrics and Laplacians on the Siegel-jacobi Spaces
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.
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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.
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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.
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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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