Invariant metrics and Laplacians on Siegel-Jacobi space

Abstract

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.

18 pages ; Added contents, Added references ; typographical error [1] page 2, -line 5 (insert 4)

References in corpus (3)

• A note on a fundamental domain for Siegel-Jacobi space
• A Geometrical Theory of Jacobi Forms of Higher Degree
• A Note on Maass-Jacobi Forms

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