| 近Leibniz流形的判定及应用 |
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| 引用本文： | 张福娥,曾辉,赵晓华.近Leibniz流形的判定及应用[J].石河子大学学报,2010,28(1):121-124. |
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| 作者姓名： | 张福娥 曾辉 赵晓华 |
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| 作者单位： | 石河子大学师范学院数学系;新疆教育学院;浙江师范大学数理信息工程学院; |
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| 基金项目： | 国家自然科学基金项目(10872183) |
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| 摘 要： | 为进一步完善近Leibniz流形的理论,从张量的角度研究了Leibniz流形及近Leibniz流形,给出了Leibniz流形的张量表示形式,并用该张量形式表示了Leibniz流形和近Leibniz流形上的动力系统,然后给出一个近Leibniz流形是Leibniz流形的判定条件,且把它应用在近Leibniz动力系统上。
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| 关 键 词： | Leibniz流形 近Leibniz流形 近Leibniz动力系统 |
Judgement and Application of Almost Leibniz Manifolds |
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| ZHANG Fu''e,ZENG Hui,ZHAO Xiaohua.Judgement and Application of Almost Leibniz Manifolds[J].Journal of Shihezi University(Natural Science),2010,28(1):121-124. |
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| Authors: | ZHANG Fu'e ZENG Hui ZHAO Xiaohua |
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| Institution: | 1 Department of Mathematics;Teachers' College;Shihezi University;Shihezi 832003;China;2 Xinjiang Educational Institute;Wulumuqi 830054;3 School of Maths-Physics;Information and Engineering Science;Zhejiang Normal University Jinhua 321004;China |
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| Abstract: | To perfect the theories of almost Leibniz manifold profoundly,Leibniz manifold and almost Leibniz manifold are studied from point of tensor,and the forms of tensor of Leibniz manifold are given,so dynamical systems on Leibniz manifold and almost Leibniz manifold can be given according to tensors.Then a qualification that almost Leibniz manifold is a Leibniz manifold is given,finally apply it to almost Leibniz dynamical systems. |
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| Keywords: | Leibniz manifold almost Leibniz manifold almost Leibniz dynamical system |
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