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About: Schur's lemma (Riemannian geometry)     Goto   Sponge   NotDistinct   Permalink

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In Riemannian geometry, Schur's lemma is a result that says, heuristically, whenever certain curvatures are pointwise constant then they are forced to be globally constant. The proof is essentially a one-step calculation, which has only one input: the second Bianchi identity.