An Extension of the Poincar’e Lemma of Differential Forms

HTML  XML Download Download as PDF (Size: 245KB)  PP. 16-18  
DOI: 10.4236/am.2013.41004    3,916 Downloads   5,895 Views  

ABSTRACT

This paper is to extend the Poincare Lemma for differential forms in a bounded, convex domain [1] in Rn to a more general domain that, we call, is deformable to every point in itself. Then we extend the homotopy operator T in [1] to the domain defromed to every point of itself.

Share and Cite:

Z. Tang, J. Zhu, J. Huang and J. Li, "An Extension of the Poincar’e Lemma of Differential Forms," Applied Mathematics, Vol. 4 No. 1, 2013, pp. 16-18. doi: 10.4236/am.2013.41004.

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.