青云英语翻译

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雅可比结构的进化偏微分方程

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在本文中,我们介绍无穷维雅可比结构的概念来描述的一类非局部哈密顿系统自然出现时对哈密尔顿进化偏微分方程应用相互转换的几何结构。我们证明了我们班的无穷维雅可比结构是不变的相互转换,只能更改空间的变量作用下。在合适的经典 Schouten–Nijenhuis 支架的空间的所谓的拟局部振荡 multi-vectors,推广与这种 supermanifolds 的框架结构简单实现技术的主要工具。这些建筑物用来计算 Lichnerowicz–Jacobi cohomologies,雅可比结构的动力主要条款达布定理证明。我们还引进 bi-雅可比的结构,这一概念,并认为拥有一双-雅可比结构的进化偏微分方程系

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雅各比结构的演变偏微分方程

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在本文我们介绍无限尺寸Jacobi结构的概念描述非本地的汉密尔顿的
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