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曲线在运动下的不变性质与不变量
引用本文:孟令江.曲线在运动下的不变性质与不变量[J].河北大学学报(自然科学版),2000(2).
作者姓名:孟令江
作者单位:唐山师范学院数学系!河北唐山063000
摘    要:系统地讨论了曲线在运动下的主要不变性质与不变量 ,并借助于矩阵和矢量给出了其简要的证明。着重证明了曲率和挠率为运动不变量 ,尤其对基本三棱形的讨论 ,为以后的曲面论打下了基础

关 键 词:曲率  挠率  基本三棱形

The Invariable Quality and Quantity of Curves under the Movement
MENG Ling_jiang.The Invariable Quality and Quantity of Curves under the Movement[J].Journal of Hebei University (Natural Science Edition),2000(2).
Authors:MENG Ling_jiang
Abstract:The mainly invariable quality and quantity of curves under the movement are systematically disscussed and briefly proved by means of matrics and uecters.It shows that the curvature and the deflection are the invariable of the movement,especially for the discussion of the fundamental three-vector form and it also lays a fundation for the study on the theory of surface.
Keywords:curvature  deflection  fundamental three-vector form
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