张量分量与其物理分量间的普遍关系

A General Expression of the Component of a Tensor and its Physical Component

本文提出了度量主坐标的新概念,并证明导得了由任意曲线坐标系到度量主坐标系的相似变换定理。得到了张量分量与其物理分量间的普遍关系式。解决了由任意曲线坐标系的张量分量转换为物理分量的问题。

In this paper, a new conception of metric principal coordinates is proposed. A theorem of diagonalization, which transforms the curvilinear arbitrary coordinates to the metric principal coordinates, is derived and proved. A general expression between the component of a tensor and its physical component is also obtained.