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arXiv · 0712.1682

Lemma Poincaré for L_infty,loc - forms

Vladimir Gol'dshtein·Stanislav Dubrovskiy
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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.

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Vladimir Gol'dshtein, Stanislav Dubrovskiy. 2007-12-11. Lemma Poincaré for L_infty,loc - forms. https://arxiv.org/abs/0712.1682

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