Concerning a conjecture of Taketomi-Tamaru
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arXiv
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| Format: | Preprint |
| Published: |
2018
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| _version_ | 1866910767262990336 |
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| author | Jablonski, Michael |
| author_facet | Jablonski, Michael |
| contents | We study the setting of 2-step nilpotent Lie groups in the particular case that its type (p,q) is not exceptional. We demonstrate that, generically, the orbits of $\mathbb R^{>0}\times Aut_0$ in $GL(n)/O(n)$ are congruent even when a Ricci soliton metric does exists. In doing so, we provide a counterexample to the local version of a conjecture of Taketomi-Tamaru. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1810_08173 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Concerning a conjecture of Taketomi-Tamaru Jablonski, Michael Differential Geometry 53C25, 53C30, 22E25 We study the setting of 2-step nilpotent Lie groups in the particular case that its type (p,q) is not exceptional. We demonstrate that, generically, the orbits of $\mathbb R^{>0}\times Aut_0$ in $GL(n)/O(n)$ are congruent even when a Ricci soliton metric does exists. In doing so, we provide a counterexample to the local version of a conjecture of Taketomi-Tamaru. |
| title | Concerning a conjecture of Taketomi-Tamaru |
| topic | Differential Geometry 53C25, 53C30, 22E25 |
| url | https://arxiv.org/abs/1810.08173 |