欧几里得位形空间几何性质的曲线坐标表示磁

摘要

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 .%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。