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arXiv · 1810.08173

Concerning a conjecture of Taketomi-Tamaru

Michael Jablonski
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Abstract

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.

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Michael Jablonski. 2018-10-18. Concerning a conjecture of Taketomi-Tamaru. https://arxiv.org/abs/1810.08173

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