DEqns: differential forms exact, closed, generalized Stokes Thm, 9-4-18 part 1

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Комментарии
Автор

Aww man, there is a stupid miscalculation about minute 45. I should have (Q_x-P_y)dx wedge dy.

jamescook
Автор

I have a question . Let ω = (3y^2 − 4xz)dx − 3yzdy + (2x − y − z)dz be a differential
1-form in R3.
a) Is ω exact? Is it closed?
b) Find ω ∧ dω.
c) Is there a smooth function f (x, y, z) such that df ∧ ω = dω? how shall we proceed

aritraroy
Автор

suppose that w is a 1-form in R^3 and we have a value for dw, now can we find a smooth function f(x, y, z) such that $df\wedge w=dw$, and what does it look like. I appreciate your lecture video.

muluegebreslasie