Hi Manifolds experts
I'm a newbie to Sage Manifolds; I find it fascinating, thanks! I have searched for the answer in the forum and documentation but so far without success.
In the code below, I wrote out x^2 in full as -t^2 + x^2 + y^2 + z^2. Is there a way to write it as something like x^2 or g[_μν] x[^μ] x[^ν] ? I tried but couldn't find how and got syntax errors.
Also: is there a way to make the output show the denominator as something like x^2 or g[_μν] x[^μ] x[^ν] ?
Here is my code:
from sage.all import *
%display latex
M = Manifold(4, 'M', latex_name=r'\mathcal{M}', structure='Lorentzian')
X.<t,x,y,z> = M.chart()
F = M.scalar_field(1/(-t^2 + x^2 + y^2 + z^2))
dF = diff(F)
dF.apply_map(factor)
display(dF.display())
I am using SageMath version 9.5, Release Date: 2022-01-30. My OS is Ubuntu 22.04 (itself on WSL2 on Windows 11 latest).
Thank you GPN
