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An Extension of the Poincar’e Lemma of Differential Forms
Department of Mathematics and System Science, National University of Defense Technology, Changsha, China
Department of Mathematics and System Science, National University of Defense Technology, Changsha, China
Department of Mathematics and System Science, National University of Defense Technology, Changsha, China
Department of Mathematics and System Science, National University of Defense Technology, Changsha, China
- 1 Department of Mathematics and System Science, National University of Defense Technology, Changsha, China
- 2 Department of Mathematics and System Science, National University of Defense Technology, Changsha, China
- 3 Department of Mathematics and System Science, National University of Defense Technology, Changsha, China
- 4 Department of Mathematics and System Science, National University of Defense Technology, Changsha, China
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Abstract
This paper is to extend the Poincar ’ e Lemma for differential forms in a bounded, convex domain [1] in R n 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.
KeywordsDifferential FormsPoincar’e LemmaDomain Deformed to Every Point
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