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Some Remarks on the Nijenhuis Tensor

Published online by Cambridge University Press:  20 November 2018

A. P. Stone
A. P. Stone*
Affiliation:
University of New Mexico, Albuquerque, New Mexico
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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 .

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 25 , Issue 5 , October 1973 , pp. 903 - 907
Copyright
Copyright © Canadian Mathematical Society 1973

References

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