| 三维仿射空间中曲线的性质 |
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| 引用本文： | 于延华,杨云,刘会立.三维仿射空间中曲线的性质[J].东北大学学报(自然科学版),2012,33(4):605-608. |
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| 作者姓名： | 于延华 杨云 刘会立 |
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| 作者单位： | 东北大学理学院,辽宁沈阳,110819 |
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| 基金项目： | 国家自然科学基金资助项目，国家自然科学基金重点国际合作主题项目，中央高校基本科研业务费专项资金资助项目 |
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| 摘 要： | 研究了三维仿射空间中曲线的结构方程,讨论了半Euclid空间中空间曲线的不变量.通过考虑一条既在三维欧几里空间又在三维闵可夫斯基空间中的空间曲线,得出三维仿射空间中与曲率、挠率及转动惯量有关的两个不变量,并证明了这两个不变量与环绕空间的度量选取无关.
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| 关 键 词： | 曲线 仿射空间 闵可夫斯基空间 不变量 性质 |
Curve Characterization in 3D Affine Space |
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| YU Yan-hua,YANG Yun,LIU Hui-li.Curve Characterization in 3D Affine Space[J].Journal of Northeastern University(Natural Science),2012,33(4):605-608. |
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| Authors: | YU Yan-hua YANG Yun LIU Hui-li |
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| Institution: | (School of Sciences,Northeastern University,Shenyang 110819,China.) |
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| Abstract: | The structure equations of curves were studied in 3D affine space,and the invariants of space curves were discussed in the semi Euclid space.A space curve that is both in 3D Euclid space and 3D Minkowski space was considered,and two invariants were obtained which are curvature,torsion and moment of inertia dependent.It was verified that the two invariants are independent of the choice of inner products. |
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| Keywords: | curve affine space Minkowski space invariant characterization |
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