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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


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.

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The authors declare no conflicts of interest.

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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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