A maximally symmetric is a Riemannian n-dimensional manifold for which there is n/2 (n+1) linearly independent (as solutions) killing vectors. It is well known that in such a space(adsbygoogle = window.adsbygoogle || []).push({});

$$R_{abcd} \propto (g_{ab}g_{cd} - g_{ac}g_{bd}) .$$

How is this formula derived for a general maximally symmetric space?

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# Riemannian curvature of maximally symmetric spaces

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