English

Invariant metrics and Laplacians on Siegel-Jacobi space

Number Theory 2008-08-15 v3

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.

Keywords

Cite

@article{arxiv.math/0507215,
  title  = {Invariant metrics and Laplacians on Siegel-Jacobi space},
  author = {Jae-Hyun Yang},
  journal= {arXiv preprint arXiv:math/0507215},
  year   = {2008}
}

Comments

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