I am looking for examples how to work with forms, e.g. how to evaluate a form on a vector field, pull back a form, do external derivatives and so on.
I already failed at replicating the tutorial linked below, which gives 0v instead of 3v.
julia> @mixedbasis ℝ2
(⟨++--⟩*, v, v₁, v₂, w¹, w², v₁₂, v₁w¹, v₁w², v₂w¹, v₂w², w¹², v₁₂w¹, v₁₂w², v₁w¹², v₂w¹², v₁₂w¹²)
julia> w1+2w2
1w¹ + 2w²
julia> ans(v1+v2)
3v # I get 0v instead
Why is the sum of two Submanifolds a Chain?
(discourse didn’t accept the links below, inserted spaces)
grassmann.crucialflow. com/stable/tutorials/dyadic-tensors/
I also found this helpful paper, but it doesn’t address the basics: vixra. org/pdf/2304.0228v1.pdf
Is there any newbie-friendly documentation out there?