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arXiv · 1010.3507

Champs de vecteurs et formes différentielles sur une variété des points proches

Basile Guy Richard Bossoto·Eugène Okassa
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Abstract

Let M be a smooth manifold, A a local algebra in sense of André Weil, M^{A} the manifold of near points on M of kind A and X(M^{A}) the module of vector fields on M^{A}. We give a new definition of vector fields on M^{A} and we show that X(M^{A}) is a Lie algebra over A. We study the cohomology of A-differential forms.

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Basile Guy Richard Bossoto, Eugène Okassa. 2010-10-18. Champs de vecteurs et formes différentielles sur une variété des points proches. https://arxiv.org/abs/1010.3507

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