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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.04310 |
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| _version_ | 1866910571710906368 |
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| author | Babalic, Elena Mirela Berceanu, Stefan |
| author_facet | Babalic, Elena Mirela Berceanu, Stefan |
| contents | The inverse of the metric matrices on the Siegel-Jacobi upper half space ${\mathcal{X}}^J_n$, invariant to the restricted real Jacobi group $G^J_n(\mathbb{R})_0$ and extended Siegel-Jacobi $\tilde{\mathcal{X}}^J_n$ upper half space, invariant to the action of the real Jacobi $G^J_n(\mathbb{R})$, are presented. The results are relevant for Berezin quantization of the manifolds ${\mathcal{X}}^J_ n$ and $\tilde{\mathcal{X}}^J_n$. Explicit calculations in the case $n=2$ are given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_04310 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Connection matrices on the Siegel-Jacobi upper half space and extended Siegel-Jacobi upper half space Babalic, Elena Mirela Berceanu, Stefan Differential Geometry 81Q70, 53C05, 37J55, 53D15 The inverse of the metric matrices on the Siegel-Jacobi upper half space ${\mathcal{X}}^J_n$, invariant to the restricted real Jacobi group $G^J_n(\mathbb{R})_0$ and extended Siegel-Jacobi $\tilde{\mathcal{X}}^J_n$ upper half space, invariant to the action of the real Jacobi $G^J_n(\mathbb{R})$, are presented. The results are relevant for Berezin quantization of the manifolds ${\mathcal{X}}^J_ n$ and $\tilde{\mathcal{X}}^J_n$. Explicit calculations in the case $n=2$ are given. |
| title | Connection matrices on the Siegel-Jacobi upper half space and extended Siegel-Jacobi upper half space |
| topic | Differential Geometry 81Q70, 53C05, 37J55, 53D15 |
| url | https://arxiv.org/abs/2407.04310 |