| 欧几里得位形空间几何性质的曲线坐标表示 |
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| 引用本文： | 王勇,张延芳,陈英华.欧几里得位形空间几何性质的曲线坐标表示[J].茂名学院学报,2014(6):72-74. |
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| 作者姓名： | 王勇 张延芳 陈英华 |
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| 作者单位： | 广东医学院信息工程学院,广东东莞,523808 |
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| 基金项目： | 国家自然科学基金(11172120)；广东医学院科研基金面上项目 |
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| 摘 要： | 通过直角坐标系和曲线坐标系之间的一阶线性映射,研究了欧几里得位形空间几何性质在曲线坐标系下的表示。根据协变性原理写出质点在曲线坐标系中的运动方程,该方程是牛顿第二定律的协变形式。
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| 关 键 词： | 一阶线性映射 欧几里得位形空间 曲线坐标系 |
Geometric Formulation for Euclidean Configuration Space in Curvilinear Coordinate Systems |
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| WANG Yong,ZHANG Yanfang,CHEN Yinghua.Geometric Formulation for Euclidean Configuration Space in Curvilinear Coordinate Systems[J].Journal of Maoming College,2014(6):72-74. |
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| Authors: | WANG Yong ZHANG Yanfang CHEN Yinghua |
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| Institution: | (School of Information Engineering, Guangdong Medical College, Dongguan 523808, China) |
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| Abstract: | The geometric formulation of Euclidean configuration spaces in curvilinear coordinate systems is studied through the first-order linear mapping between the rectangular coordinate system and curvilinear coordinate systems,and according to the principle of covariance,the motion equation of the particle,which is the covariant form of Newton＇s second law,can be drawn out. |
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| Keywords: | The first-order linear mapping Euclidean configuration spaces Curvilinear coordinate systems |
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