标题： 广义雅可比结构 显示英文标题

标题： Generalized Jacobi structures

摘要： 雅可比括号（标准泊松括号的推广形式，在其中莱布尼茨法则被一个较弱的条件所取代）被推广到涉及任意（偶数个）函数的括号中。这种新的结构包含了最近引入的广义泊松结构作为特例。简单群流形上的线性情形也被研究，并且通过使用给定群的上同调环发现了这种新构造的非平凡例子（不同于来自广义泊松结构的例子）。 显示英文摘要

摘要： Jacobi brackets (a generalization of standard Poisson brackets in which Leibniz's rule is replaced by a weaker condition) are extended to brackets involving an arbitrary (even) number of functions. This new structure includes, as a particular case, the recently introduced generalized Poisson structures. The linear case on simple group manifolds is also studied and non-trivial examples (different from those coming from generalized Poisson structures) of this new construction are found by using the cohomology ring of the given group.