Hi all, I was just interested in verification of a concept. If we are given the full Riemann tensor in the form which implies constant curvature (i.e. lambda multiplying metric components) does this imply that the Ricci tensor vanishes? The question stems from why the vacuum equations cannot be constructed in dimensions less than 4. Thanks for any clarification!(adsbygoogle = window.adsbygoogle || []).push({});

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# Spaces of Constant Curvature and the Ricci Tensor

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