Lemma Poincar\'e for L_infty,loc - forms
Differential Geometry
2007-12-12 v1 Functional Analysis
Abstract
We show that every closed L_infty,loc - form on R^n is exact. Differential is understood in the sense of currents. The proof does not use any explicit geometric constructions. De Rham theorem follows.
Cite
@article{arxiv.0712.1682,
title = {Lemma Poincar\'e for L_infty,loc - forms},
author = {Vladimir Gol'dshtein and Stanislav Dubrovskiy},
journal= {arXiv preprint arXiv:0712.1682},
year = {2007}
}
Comments
6 pages