| 余切丛上判定辛向量场的等价命题 |
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| 引用本文： | 王宝勤,刘亚军.余切丛上判定辛向量场的等价命题[J].新疆师范大学学报(自然科学版),2000,19(2):1-4. |
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| 作者姓名： | 王宝勤 刘亚军 |
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| 作者单位： | 新疆师范大学数学系,马鲁木齐 |
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| 摘 要： | 本给出了另一个判定余切丛上辛向量场的命题，并指出这个命题与原有的两个命题是等价的，最后用新判定方法对几个具体的向量场是或不是辛向量场作出判断。
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| 关 键 词： | 余切丛 辛向量场 Cartan引理 辛流形 命题 等价 |
EQUIVALENT PROPOSITIONS FOR JUDGING SYMPLECTIC VECTOR FIELD ON THE COTANGENT BUNDLE |
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| Wang Baoqin, Liu Yajun.EQUIVALENT PROPOSITIONS FOR JUDGING SYMPLECTIC VECTOR FIELD ON THE COTANGENT BUNDLE[J].Journal of Xinjiang Normal University(Natural Sciences Edition),2000,19(2):1-4. |
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| Authors: | Wang Baoqin Liu Yajun |
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| Abstract: | In this paper,we put forward another proposition to judge symplectic vec- tor fields on the cotangent bundle T P. We also point out the proposition is equivalent to the original two propositions. At last,we judge by new method that some specific vector fields on T P is or is not symplectic vector field. |
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| Keywords: | Contangent bundle Symplectic vector field Cartan's lemma |
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