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

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Abstract

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

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Correspondence to Shaoqiang Deng.

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Chen, H., Chen, Z. & Deng, S. Non-naturally reductive Einstein metrics on \(\mathrm {SO}(n)\) . manuscripta math. 156, 127–136 (2018). https://doi.org/10.1007/s00229-017-0954-3

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  • DOI: https://doi.org/10.1007/s00229-017-0954-3

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