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arXiv · 1701.03806

Non-naturally reductive Einstein metrics on $\mathrm{SO}(n)$

Huibin Chen·Zhiqi Chen·Shaoqiang Deng
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Abstract

In this article, we prove that every compact simple Lie group $SO(n)$ for $n\geq 10$ admits at least $2\left([\frac{n-1}{3}]-2\right)$ non-naturally reductive left-invariant Einstein metrics.

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Huibin Chen, Zhiqi Chen, Shaoqiang Deng. 2017-01-13. Non-naturally reductive Einstein metrics on $\mathrm{SO}(n)$. https://arxiv.org/abs/1701.03806

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