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liesymm

  

Lie

  

the Lie derivative

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

Lie(form, V)

Parameters

form

-

expression involving differential forms relative to specific coordinates

V

-

name or an explicit isovector [V1,V2,...Vn]

Description

• 

The Lie derivative of the differential form form is constructed with respect to V1,...,Vn where n is the number of coordinates.

• 

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

Examples

withliesymm:

setupx,y,z

x,y,z

(1)

Liedx,V

xV[1]x,y,zdx+yV[1]x,y,zdy+zV[1]x,y,zdz

(2)

Liefx,y,zdx,V

V[1]x,y,zxfx,y,z+V[2]x,y,zyfx,y,z+V[3]x,y,zzfx,y,zdx+fx,y,zxV[1]x,y,zdx+yV[1]x,y,zdy+zV[1]x,y,zdz

(3)

Liefx,y,zdx &^ dy,V

V[1]x,y,zxfx,y,z+V[2]x,y,zyfx,y,z+V[3]x,y,zzfx,y,zdx &^ dy+fx,y,zxV[1]x,y,zdx &^ dyzV[1]x,y,zdy &^ dz+yV[2]x,y,zdx &^ dy+zV[2]x,y,zdx &^ dz

(4)

See Also

liesymm

liesymm[&^]

liesymm[d]

liesymm[hook]

liesymm[setup]

liesymm[wedgeset]

with