Champs de vecteurs et formes diff\'erentielles sur une vari\'et\'e des points proches
Differential Geometry
2010-10-19 v1
Abstract
Let M be a smooth manifold, A a local algebra in sense of Andr\'e 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.
Cite
@article{arxiv.1010.3507,
title = {Champs de vecteurs et formes diff\'erentielles sur une vari\'et\'e des points proches},
author = {Basile Guy Richard Bossoto and Eugène Okassa},
journal= {arXiv preprint arXiv:1010.3507},
year = {2010}
}
Comments
14 pages