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Hey,

we had in the lecures the following:

Let M and N be smooth manifolds, and dim(M)=dim(N)=n, while $$x^i$$ and $$ y^i$$ are coordinate functions around $$p\in M$$ respective $$F(p) \in N$$, then we get for the pullback of F

Which entries has the matrix we take the determinant of? I thaught of partial derivatives but am not sure.

we had in the lecures the following:

Let M and N be smooth manifolds, and dim(M)=dim(N)=n, while $$x^i$$ and $$ y^i$$ are coordinate functions around $$p\in M$$ respective $$F(p) \in N$$, then we get for the pullback of F

Which entries has the matrix we take the determinant of? I thaught of partial derivatives but am not sure.