A Visual Introduction to Differential Forms and Calculus on Manifolds pp 259-275 | Cite as

Poincaré Lemma

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• Jon Pierre Fortney

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First Online: 04 November 2018

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Abstract

Briefly put, the Poincaré lemma is as follows.

Keywords

Venn-like Diagrams Exterior Derivative Bootstrap Ourselves Pull-back Mapping Sample Case 

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References

1. 1.
   R. Abraham, J.E. Marsden, and T. Ratiu. Manifolds, Tensor Analysis, and Applications. Springer, 2 edition, 1991.Google Scholar
2. 35.
   James Munkres. Analysis on Manifolds. Addison-Wesley Publishing Company, 1991.Google Scholar
3. 37.
   Paul Renteln. Manifolds, Tensors, and Forms. Cambridge University Press, 2014.Google Scholar

Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

• Jon Pierre Fortney
  • 1

1. 1.Department of Mathematics and StatisticsZayed UniversityDubaiUnited Arab Emirates