calculate the Lie bracket of two VectorField objects
a synonym for LieBracket
LieBracket (X, Y)
Commutator (X, Y)
a VectorField object
a VectorField object on the same space as X
The Lie bracket of two vector fields X, Y, defined on the same space, is the vector field Z such that Z⁡f=X⁡Y⁡f−Y⁡X⁡f where f is a real-valued function on the same space as X and Y. The standard notation is Z=X,Y.
The LieBracket(X,Y) method returns a VectorField object on the same space as X and Y.
The Commutator method is provided as an alias.
This method is associated with the VectorField object. For more detail, see Overview of the VectorField object.
which is the same as
The LieBracket and Commutator commands were introduced in Maple 2020.
For more information on Maple 2020 changes, see Updates in Maple 2020.
VectorField (Object overview)
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