Gauss Integral

Consider two closed oriented space curves f_1:C_1->R^3 and f_2:C_2->R^3, where C_1 and C_2 are distinct circles, f_1 and f_2 are differentiable C^1 functions, and f_1(C_1) and f_2(C_2) are disjoint loci. Let Lk(f_1,f_2) be the linking number of the two curves, then the Gauss integral is


See also

Călugăreanu Theorem, Gaussian Integral, Linking Number

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Pohl, W. F. "The Self-Linking Number of a Closed Space Curve." J. Math. Mech. 17, 975-985, 1968.

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Gauss Integral

Cite this as:

Weisstein, Eric W. "Gauss Integral." From MathWorld--A Wolfram Web Resource.

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