Invariant metrics and Laplacians on Siegel-Jacobi space

Details Invariant metrics and Laplacians on Siegel-Jacobi space Invariant metrics and Laplacians on Siegel-Jacobi space

2005-07-11

arxiv.org/abs/math/0507215v3

Journal of Number Thoery, vol. 127 (2007), pp. 83-102.

Mathematics

Number Theory

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

Scientific paper

10.1016/j.jnt.2006.12.014

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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