Differential forms on manifolds with a polynomial structure (Q2702778)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Differential forms on manifolds with a polynomial structure |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Differential forms on manifolds with a polynomial structure |
scientific article |
Statements
13 March 2001
0 references
manifold
0 references
complex differential form
0 references
polynomial structure
0 references
0 references
Differential forms on manifolds with a polynomial structure (English)
0 references
On a \(C^{\infty }\)-manifold endowed with an integrable polynomial structure (with only simple roots of the characteristic polynomial), the decomposition of the tangent bundle which corresponds to the decomposition of the characteristic polynomial, induces a decomposition of the bundle of complex \(p\)-forms. This decomposition enables to introduce derivation operators (of degree 1) of three types on the graded commutative algebra of differential forms. For these operators, Poincaré lemma (that every closed form is exact) is proved.
0 references
