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#poincaré_lemma

Poincaré lemma

In mathematics, the Poincaré lemma gives a sufficient condition for a closed differential form to be exact. Precisely, it states that every closed p-form on an open ball in Rn is exact for p with 1 ≤ p ≤ n. The lemma was introduced by Henri Poincaré in 1886.

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Poincaré lemma Closed and exact differential forms Poincaré theorem Dolbeault cohomology Lemma (mathematics) Complex differential form Calculus on Euclidean space De Rham cohomology Ddbar lemma Hodge star operator
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