论文标题
完全说谎的代数动作和谎言代数的整合性
Complete Lie algebroid actions and the integrability of Lie algebroids
论文作者
论文摘要
我们给出了一个新的证明，证明了谎言代数对溢出浸入的完全作用及其整合性之间的等效性。我们方法中的主要工具是双子lie群和乘法叶子，我们的证明依赖于对那些诱导其轨道空间上的lie群结构的空置双重lie族的简单表征。
We give a new proof of the equivalence between the existence of a complete action of a Lie algebroid on a surjective submersion and its integrability. The main tools in our approach are double Lie groupoids and multiplicative foliations, our proof relies on a simple characterization of those vacant double Lie groupoids which induce a Lie groupoid structure on their orbit spaces.
