标题： 泊松拟尼詹努斯结构的规范PN结构的形变 显示英文标题

标题： Poisson quasi-Nijenhuis deformations of the canonical PN structure

摘要： 我们提出一个结果，该结果允许通过闭合2-形式将泊松-尼延黑斯流形变形为泊松拟尼延黑斯流形。 在额外假设下，变形后的结构也是泊松-尼延黑斯的。 我们将这个结果应用于说明标准泊松-尼延黑斯结构在R^2n上产生由Das和Okubo [6]引入的开（或非周期）n粒子Toda格子的泊松-尼延黑斯结构，以及我们在最近的工作[7]中描述的闭（或周期）n粒子Toda格子的泊松拟尼延黑斯结构。 显示英文摘要

摘要： We present a result which allows us to deform a Poisson-Nijenhuis manifold into a Poisson quasi-Nijenhuis manifold by means of a closed 2-form. Under an additional assumption, the deformed structure is also Poisson-Nijenhuis. We apply this result to show that the canonical Poisson-Nijenhuis structure on R^2n gives rise to both the Poisson-Nijenhuis structure of the open (or non periodic) n-particle Toda lattice, introduced by Das and Okubo [6], and the Poisson quasi-Nijenhuis structure of the closed (or periodic) n-particle Toda lattice, described in our recent work [7].