Hi, I have an exercise whose solution seems too simple; please double-check my work:
We have a product manifold MxN, and want to show that if w is a k-form in M and
w' is a k-form in N, then ##(w \bigoplus w')(X,Y)## , for vector fields X,Y in M,N respectively,
is a k-form in MxN.
I am...