2013/11/06 by Manuel Araujo, Araujo, Manuel, Gustavo Granja +1
Mathematics · #58A12 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:58A12
paper · pdf · doi:10.48550/arxiv.1311.1414
This paper has been withdrawn because it has become an appendix in arxiv:1404.2433
arxiv created 2014/04/10 · arxiv updated 2014/04/11
Let M be a manifold, possibly with boundary. We show that the deRham differential from k-forms to exact (k+1)-forms has a continuous right inverse when both spaces are given the weak Whitney topology. This antidifferential operator is given a fairly explicit formula depending on the choice of a suitable good cover of M and local coordinates on the elements of the cover. If the antidifferential operator is applied to a smooth family of exact forms, it produces a smooth family of forms.