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?
Can you find a 2-form not written as the wedge of two 1-forms?
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0The 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
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Yes, it is possible. (And you should find an example yourself: I will not deprive you of the joy of finding it :) )
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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