乘法形式的局部公式
Local formulas for multiplicative forms
摘要：
我们提供了明确的公式积分乘法形式的局部李群胚的无穷小数据。结合我们以前的工作[8]，它构造了李代数胚的局部李群胚，这些公式产生了几个无穷小定义的几何结构的具体积分。特别是，我们得到的局部积分和非退化实现的泊松，Nijenhuis-Poisson，狄拉克和Jacobi结构的局部辛，辛Nijenhuis，前辛，接触群胚，分别。
英文摘要：
We provide explicit formulas for integrating multiplicative forms on local Lie groupoids in terms of infinitesimal data. Combined with our previous work [8], which constructs the local Lie groupoid of a Lie algebroid, these formulas produce concrete integrations of several geometric stuctures defined infinitesimally. In particular, we obtain local integrations and non-degenerate realizations of Poisson, Nijenhuis-Poisson, Dirac, and Jacobi structures by local symplectic, symplectic-Nijenhuis, presymplectic, and contact groupoids, respectively.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
