Talk:Differential form
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[edit] Closed form redirect
I think that closed form should redirect here, rather than to de Rham cohomology as at present; and also should be disambiguated with respect to the 'closed form solution' meaning.
Charles Matthews 14:03, 11 Nov 2003 (UTC)
[edit] Disagree with merging closed and exact differential forms into here
- See Talk:Closed and exact differential forms (unsigned comment by Oleg Alexandrov (talk))
[edit] symplectic form
Hi, sorry if this is a mixture or request/comment/question, but i was just wondering if symplectic differential form has any relation with this, and what exactly the correct definition would be. —The preceding unsigned comment was added by Evilbu (talk • contribs) .
- Either a 2-form, or a closed 2-form - probably the latter, in contemporary literature. Charles Matthews 22:25, 6 February 2006 (UTC)
- In addition to being closed, a symplectic form must also be nondegenerate. See symplectic manifold for details. There are words like almost-symplectic, which means not necessarily closed, etc. Orthografer 00:57, 3 November 2006 (UTC)
[edit] multilinear map from 
?
The article claims "At any point p on a manifold, a k-form gives a multilinear map from the k-th exterior power of the tangent space at p to R." Wouldn't this be just a linear map from the exterior power (which itself, however, might be thought of as a alternating multilinear map on 
)? Tesseran 05:59, 24 July 2006 (UTC)
[edit] Why
you people don't explain why you use indexes below and above without any care? Why don't you explain that there is an advantage by indexing above for coordinated function? --kiddo 01:56, 2 November 2006 (UTC)
