论文标题
从不变性的角度来看，li lie groupoids的泊松 - 尼尼岛结构
Poisson-Nijenhuis Structure on Lie groupoids from the Invariance's Point of View
论文作者
论文摘要
在本文中，我们在lie-nijenhuis lie-nijenhuis lie groupoid及其无限的对应物上介绍了右派（类似地，左右）的泊松 - nijenhuis结构，称为$（λ，\ mathbf {n}） - $结构。我们提出了$（λ，\ mathbf {n}）之间的相互对应关系 - $结构在某些条件下在其lie groups上使用Poisson-nijenhuis结构$（π，\ mathbf {n}）$。此外，从不变性的角度来看，我们将构建Poisson-nijenhuis对群体类型。
In this paper, we introduce right-invariant (similarly, left-invariant) Poisson-Nijenhuis Structures on Lie groupoids and their infinitesimal counterparts as called $(Λ, \mathbf{n})-$structures. We present a mutual correspondence between $(Λ,\mathbf{n})-$structures on Lie algebroids with Poisson-Nijenhuis structures $(Π, \mathbf{N})$ on their Lie groupoids under some conditions. Also, we will construct Poisson-Nijenhuis pair groupoids as an example from the invariance's point of view.
