liesymm[d] - the exterior derivative
|
Parameters
|
|
form
|
-
|
expression involving differential forms relative to specific coordinates
|
|
|
|
|
Description
|
|
•
|
This routine is part of the liesymm package and is loaded via with(liesymm) .
|
•
|
It computes the exterior derivative of the differential form form with respect to the coordinates defined by setup() .
|
•
|
For coordinate x, is a 1-form, and .
|
•
|
Expressions not involving the coordinates are treated as constants. The coordinate list is given by wedgeset(0).
|
|
|
Examples
|
|
>
|
|
>
|
|
| (1) |
>
|
|
| (2) |
>
|
|
| (3) |
>
|
|
| (4) |
>
|
|
| (5) |
>
|
|
| (6) |
|
|