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

Published 13 Jan 2017 in math.DG | (1701.03806v1)

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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