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An Einstein structure is a Riemannian metric on a manifold M such that $Ric=k g$ for a constant $k$. $Ric$ is the Ricci tensor and $g$ is the metric tensor
Are there any relations between existence of an Einstein structure on a Lie group and chirality of its Lie algebra? Under what conditions a Lie group whose Lie algebra is a chiral algebra admit an Einstein structure?
What is an Einstein structure? Please give a reference.
@ArnoldNeumaier Thank you for your comment. An Einstein structure is a Riemannian metric on a manifold M such that Ric=k g for a constant k. Ric is the Ricci tensor and g is the metric tensor
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