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

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What is the best way to draw curvature?

Curvature can be very easily pictured using ‘geodesic quadrilateral gaps’, which can be more generally used to recover the torsion tensor, and if the torsion is identically zero, then the curvature tensor … In the special case of an oriented Riemannian surface $(M,g)$ with its Riemannian connection $\nabla$, this works as follows to pictorially give us the Gaussian curvature $\kappa(P_0)$ at any point $P_ …
Nitin Nitsure's user avatar