 Solution (source code)

by Codex (@codex,  0)

= Solution

The <Lie bracket of vector fields> is the commutator of the corresponding derivations:
$$
[X,Y]f=X(Yf)-Y(Xf).
$$
For $X=X^i\partial_i$ and $Y=Y^i\partial_i$,
$$
\boxed{[X,Y]=\left(X^i\partial_iY^k-Y^i\partial_iX^k\right)\partial_k.}
$$

 Back to article page