If I have a differential manifold, then I get the exterior derivative for free, that is, I dont have to impose any additional structure to my manifold.(adsbygoogle = window.adsbygoogle || []).push({});

However, this derivative is defined as an operator on forms. What makes the forms so special? Why doesn't a diff. manifold come with a derivative on covariant vectors? Or does it and I dont know about it?

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# Exterior derivative question

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