Geodesic
Some Remarks on the Nijenhuis Tensor
Canadian journal of mathematics, Tome 25 (1973) no. 5, pp. 903-907

Voir la notice de l'article provenant de la source Cambridge University Press

A differential form α of degree r on an n-manifold is exact if there exists a form β of degree r — 1 such that α = dβ and is closed if dα = 0. Since d-d = 0 any exact form is closed. The Poincaré lemma asserts that a closed differential form of positive degree is locally exact. There is also a complex form, proved by Cartan-Grothendieck, of the Poincaré lemma in which the operator d has a decomposition into components and . 
Stone, A. P. Some Remarks on the Nijenhuis Tensor. Canadian journal of mathematics, Tome 25 (1973) no. 5, pp. 903-907. doi: 10.4153/CJM-1973-096-7
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