Hessian of the Busemann function on Damek-Ricci spaces
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866913612040241152 |
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| author | Satoh, Hiroyasu |
| author_facet | Satoh, Hiroyasu |
| contents | In this note, we calculate the Hessian of the Busemann function on a Damek-Ricci space. We investigate the eigenvalues of the Hessian and show its positive definiteness (Theorem 1). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2110_08806 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Hessian of the Busemann function on Damek-Ricci spaces Satoh, Hiroyasu Differential Geometry 53C20, 58C40, 22E60 In this note, we calculate the Hessian of the Busemann function on a Damek-Ricci space. We investigate the eigenvalues of the Hessian and show its positive definiteness (Theorem 1). |
| title | Hessian of the Busemann function on Damek-Ricci spaces |
| topic | Differential Geometry 53C20, 58C40, 22E60 |
| url | https://arxiv.org/abs/2110.08806 |