详论流的庞加莱理论及其应用

Detailed Proof of Poincare Lemma for Currents and Its Application

给出了流的庞加莱引理的详细证明,并给出它的应用结果。流的庞加莱引理是微分流形的流理论中的一个重要定理。它说明在一定条件下闭流可以上同调于一个光滑流。

This paper provided detailed proof of Poincare lemma for currents, and its application results. Poincare lemma for currents is an important theory in the current theory of differential manifolds. It shows a closed current can be cohomologous to a smooth form in some conditions.