Differential Forms and/or Multi-vector Functions
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F. Brackx
fb@cage.ugent.be
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R. Delanghe
rd@cage.ugent.be
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F. Sommen
fs@cage.ugent.be
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Abstract
Similarities are shown between the algebras of differential forms and of Clifford algebra-valued multi-vector functions in an open region of Euclidean space. The Poincar´e Lemma and the Dual Poincar´e Lemma are restated and proved in a refined version. In the case of real-analytic differential forms an alternative proof of the Poincar´e Lemma is given using the Euler operator. A position is taken in the debate on the redundancy of either of the two algebras.
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Published
2005-08-01
How to Cite
[1]
F. Brackx, R. Delanghe, and F. Sommen, “Differential Forms and/or Multi-vector Functions”, CUBO, vol. 7, no. 2, pp. 139–169, Aug. 2005.
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