An Extension of the Poincar’e Lemma of Differential Forms

Zhaoyang Tang, Jianmin Zhu, Jianhua Huang, Jin Li

Department of Mathematics and System Science, National University of Defense Technology, Changsha, China.

DOI: 10.4236/am.2013.41004                

Abstract

This paper is to extend the Poincar’e 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.

Keywords

Differential Forms; Poincar’e Lemma; Domain Deformed to Every Point

Conflicts of Interest

The authors declare no conflicts of interest.

References

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