Talk:Lie bracket of vector fields

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The article is going to have to define what J(X) means. Charles Matthews 22:07, 27 March 2007 (UTC)

I suspect they mean simply the commutator (Lie bracket) of vector fields, but I'd wait just to be sure. Arcfrk 11:52, 31 March 2007 (UTC)

I think J(X) means the Jacobian matrix of partial derivatives of X in coordinates. This matrix is then applied to a column vector Y to obtain what I would call dX(Y). The difference between the two terms is then the Lie bracket of vector fields. Geometry guy 10:40, 17 June 2007 (UTC)

-- Coordinate chart

I guess the x^j are the coordinate chart talked about? —Preceding unsigned comment added by 88.77.250.91 (talk) 13:57, 5 January 2008 (UTC)