What is the geometric meaning of Ricci-flatness? We know that if the Riemann tensor at a point vanished, manifold is flat at this point. but I don't know When the Ricci tensor vanished at a point, what is shape of manifold at this point? and a same question about scalar curvature.
2026-05-17 04:05:00.1778990700
geometric meaning of Ricci-flatness
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