- #1
center o bass
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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
$$R_{abcd} \propto (g_{ab}g_{cd} - g_{ac}g_{bd}) .$$
How is this formula derived for a general maximally symmetric space?
$$R_{abcd} \propto (g_{ab}g_{cd} - g_{ac}g_{bd}) .$$
How is this formula derived for a general maximally symmetric space?