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It is sometimes useful to think of curvature as describing what circle a curve most resembles at a point. The curvature of the helix in the previous example is $1/2$; this means that a small piece of the helix looks very much like a circle of radius $2$, as shown in figure 13.3.1. This defines a tensor, called curvature tensor. If in addition we have any connection on which is torsion free, we may view as the antisymmetric part of the second derivative of sections as follows. The covariant derivative of any section is a tensor which has again a covariant derivative (tensor derivative) .

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