| 分裂定理对乘积Poisson流形的应用 |
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| 引用本文： | 刘宝康.分裂定理对乘积Poisson流形的应用[J].哈尔滨师范大学自然科学学报,1998(6). |
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| 作者姓名： | 刘宝康 |
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| 作者单位： | 首都师范大学 |
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| 摘 要： | ＡｌａｎＷｅｉｎｓｔｅｉｎ于１９８３年对Ｐｏｉｓｏｎ流形在局部上给出了分裂定理（ＳｐｌｉｔｌｉｎｇＴｈｅｏｒｅｍ），本文利用该定理给出乘积Ｐｏｉｓｓｏｎ流形在局部上的分裂，并由乘积流形的每个因子的局部标准坐标构造出乘积Ｐｏｉｓｏｎ流形的局部标准坐标，并给出其性质
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| 关 键 词： | Poisson流形 乘积Poisson流形 分裂定理 标准坐标 |
AN APPLICATION OF SPLITTING THEOREMTO PRODUCT POISSON MANIFOLDS |
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| Liu Baokang.AN APPLICATION OF SPLITTING THEOREMTO PRODUCT POISSON MANIFOLDS[J].Natural Science Journal of Harbin Normal University,1998(6). |
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| Authors: | Liu Baokang |
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| Institution: | Captipal Normal University |
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| Abstract: | In 1983, Alan Weinstein gave the local splitting theorem for the Poisson manifolds. By making use of the theorem this paper gives the local splitting for the product Poisson manifolds and from the local canonical coordinates of each factor of the product manifolds the paper constructs the local canonical coordinates for the product Poisson manifolds. Meanwhile the properties of the coordinates is given. |
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| Keywords: | Poisson manifolds Product Poisson manifolds Splitling theorem Canonical coordinates |
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