how to simplify differential form
Follow http://doc.sagemath.org/html/en/refer...
I try the source code:
r,theta=var('r,theta')
U=CoordinatePatch((r,theta))
F=DifferentialForms(U)
x=DifferentialForm(F,0,r*cos(theta))
y=DifferentialForm(F,0,r*sin(theta))
a=x.diff().wedge(y.diff())
the output is: (r*cos(theta)^2 + r*sin(theta)^2)*dr/\dtheta
then I want to simplify_trig to the coefficients. Unfortunately a.simplify_trig() not working and all the map_coefficients and map_item are not defined.
Although in such case I can use: a[0,1]=a[0,1].simplify_trig() to do the job, for general case, maybe a 3 form depends on 6 variables, it is very cumbersome to apply simplify_trig to each coefficients.
One ugly method is: for i in a._components: a[i]=a[i].simplify_trig()
However it depends to real implementation not the interface. I want to ask whether there is an elegant way to do the same job, but just rely on the interface of class sage.tensor.differential_form_element.DifferentialForm