compute the closure of a set of differential forms - Maple Help

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liesymm[close] - compute the closure of a set of differential forms

Calling Sequence

close(forms)

Parameters

forms

-

list or set of differential forms

Description

• 

This routine is part of the liesymm package and is loaded via with(liesymm).

• 

A set of differential forms is closed with respect to the exterior derivative d() by adding additional forms to the original set.

Examples

withliesymm:

setupt,x,u,w1,w2

t,x,u,w1,w2

(1)

a1:=duw1dtw2dx

a1:=duw1dtw2dx

(2)

a2:=w2+u2dx &^ dtdw2 &^ dx

a2:=u2+w2dt &^ dx+dx &^ dw2

(3)

hasclosurea1,a2

false

(4)

closea1,a2

duw1dtw2dx,u2+w2dt &^ dx+dx &^ dw2,dt &^ dw1+dx &^ dw2

(5)

hasclosure

true

(6)

See Also

liesymm, liesymm[&mod], liesymm[hasclosure], liesymm[makeforms], liesymm[setup], with


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