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

Huibin Chen; ShaoQiang Deng; Zhiqi Chen

arxiv: 1701.03806 · v1 · pith:YNH3KJXUnew · submitted 2017-01-13 · 🧮 math.DG

Non-naturally reductive Einstein metrics on SO(n)

Huibin Chen , Zhiqi Chen , ShaoQiang Deng This is my paper

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keywords einsteinmetricsnon-naturallyreductiveadmitsarticlecompactevery

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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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Non-naturally reductive Einstein metrics on SO(n)

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