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An Extension of the Poincar’e Lemma of Differential Forms

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DOI: 10.4236/am.2013.41004    3,442 Downloads   4,953 Views   Citations

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

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.

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