Examples
- 1
Consider σ = u dx1∧dx2 over a 1-form basis dx1,...,dxn. The exterior derivative is:
The last formula follows easily from the properties of the wedge product. Namely, dxi ∧ dxi = 0.
- 2
For a 1-form σ = u dx + v dy defined over R2. We have, by applying the above formula to each term (consider x1 = x and x2 = y) the following sum,
Read more about this topic: Exterior Derivative
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