Conformal Invariants.
Conformal Invariants.
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DOI：
10.1073/pnas.12.6.389
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发表时间：
1926-06
影响因子：
11.1
通讯作者：
J. Thomas
中科院分区：
文献类型：
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作者：
J. Thomas
我们称fjkl为共形协变式。由公式（2.9），可得：定理1.共形协变是共形曲率张量为零的空间的张量，并且仅适用于这样的空间。如果我们对（2.7）和（2.9）连续求导，并每次消去由（2.2）和（2.6）显式出现的二阶导数，我们就得到所需的共形不变量集及其变换定律。后者不涉及坐标x的导数，除了bx/lx和bA/8x。
We shall callfjkl the conformal covariant. From equations (2.9) follows: THEOREM 1. The conformal covariant is a tensor for spaces whose con-formal curvaturetensor vanishes, and only for such spaces. If we differentiate (2.7) and (2.9) successively and eliminate each time the second derivatives which occur explicitly by means of (2.2) and (2.6), we get the desired set of conformal invariants together with their laws of transformation. The latter involve no derivatives of the coordinates x except bx/lx and bA/8x.