- #1

saminator910

- 96

- 1

[itex]\sum^{n}_{i=1}x^{2}_{i}dx_{1}...\widehat{dx_{i}}...dx_{n}[/itex]

and I want to find the exterior derivative, how do I know where to put which partial derivative for each term,

would it simply be??

[itex]\sum^{n}_{i=1} \frac{∂x^{2}_{i}}{∂x_{i}}dx_{i}dx_{1}...\widehat{dx_{i}}...dx_{n}[/itex]

hopefully this will clarify, for this 2-form

[itex]\alpha=x_{1}x_{2}dx_{2}dx_{4} + x_{3}x_{4}dx_{1}dx_{2}[/itex]

how would one go about finding the exterior derivative? I have no idea which partials to put where, this is simple for a normal ℝ

^{3}2 form, but I have no idea here. let me know if I need to clarify.