Applied Mathematics

Volume 4, Issue 1 (January 2013)

ISSN Print: 2152-7385   ISSN Online: 2152-7393

Google-based Impact Factor: 0.96  Citations  

An Extension of the Poincar’e Lemma of Differential Forms

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DOI: 10.4236/am.2013.41004    4,020 Downloads   6,117 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.

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Tang, Z. , Zhu, J. , Huang, J. and Li, J. (2013) An Extension of the Poincar’e Lemma of Differential Forms. Applied Mathematics, 4, 16-18. doi: 10.4236/am.2013.41004.

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