Timeline for Can the solution manifold for an exterior differential system be represented using alternating multivectors?
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| Apr 9, 2011 at 14:25 | comment | added | Deane Yang | I don't know if the authors ever mention multivectors explicitly, but if you study what they do carefully you'll see that they are at least implicitly there. For example, they probably define an "integral element", which is a $k$-dimensional subspace on which an exterior differential system vanishes. This is equivalent to a $1$-dimensional subspace of decomposable $k$-vectors. And it is more or less the same as thinking of $k$ vector fields. | |
| Apr 9, 2011 at 14:09 | comment | added | Pait | You mean, I should not bother with k-multivectors and simply think in terms of k vector fields? Yes, I read "Cartan for Beginners" on a regular basis, thanks! | |
| Apr 9, 2011 at 14:01 | comment | added | Deane Yang | Since you ultimately want a submanifold on which the exterior forms vanish, it is more useful to focus on decomposable multivector solutions. In any case, you should consult a textbook on exterior differential systems, for example "Cartan for Beginners" by Ivey and Landsberg. | |
| Apr 9, 2011 at 12:55 | history | asked | Pait | CC BY-SA 3.0 |