7
$\begingroup$

I was under the impression that all 2-forms are the wedge $(\wedge)$ of two 1-forms. Is it possible to have a 2-form that you can't write as $A\wedge B$ with $A,B$ 1-forms?

  • 0
    The questio$n$ i$n$ your title is the opposite of the question in the body of your thread. Mariano is responding to the latter.2010-10-06

1 Answers 1

11

Yes, it is possible. (And you should find an example yourself: I will not deprive you of the joy of finding it :) )

  • 0
    @JimJones. As for your "look like linear combinations": that's ok. And you are making linear combinations of *which* kind of vectors? Can you find a linear combination of $dx\wedge dy, dy\wedge dz, dz \wedge dx$ equal to zero -different from the trivial one?2010-10-06