DiffAlgField _ DiffAlgForm -- contraction of a differential form with respect to a vector field

Synopsis

• Operator: _
• Usage:
X _ w
• Inputs:
• X, an instance of the type DiffAlgField, a vector field
• w, an instance of the type DiffAlgForm, a differential form
• Outputs:
• an instance of the type DiffAlgForm, the contraction of w with respect to X

Description

Given a vector field X and a differential form w, this function returns the contraction of w with respect to X. The function can be called as X _ w or as w _ X.

In this example we compute the contraction of a simple differential form and a vector field.

 i1 : w = newForm("dx_0 * dx_1") o1 = dx dx 0 1 o1 : DiffAlgForm i2 : Y = newField("ax_0") o2 = ax 0 o2 : DiffAlgField i3 : Y _ w o3 = dx 1 o3 : DiffAlgForm