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Invariant metrics and Laplacians on Siegel–Jacobi space

2005/07/31 by Jae-Hyun Yang
Mathematics · #Advanced Algebra and Geometry #Geometric and Algebraic Topology #Geometry and complex manifolds #math.NT #msc:32-XX

paper · pdf · doi:10.1016/j.jnt.2006.12.014

published as Journal of Number Thoery, vol. 127 (2007), pp. 83-102. · 18 pages ; Added contents, Added references ; typographical error [1] page 2, -line 5 (insert 4)

openalex publication_date 2007/03/04 · arxiv created 2007/07/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/02

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.

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