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Gaussian curvature, mean curvature, sectional curvature, scalar curvature, curvature tensors (Riemann, Ricci, Weyl)

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Poincaré connection encode torsion and curvature

Proceeding to calculate the curvature of connection $A$, we have naturally: $$ F = d_AA = dA + \frac{1}{2}[A\wedge A] $$ where $[\omega \wedge \eta](X,Y) = [\omega(X) , \eta(Y)] - [\omega(Y) , \eta(X) …
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