Affine collineations in Riemannian spaces
Affine collineations in Riemannian spaces
复制标题
黎曼空间中的仿射共线
DOI：
10.1063/1.529123
复制
发表时间：
1991
影响因子：
1.3
通讯作者：
D. Núñez
中科院分区：
文献类型：
--
作者：
S. Hojman;D. Núñez
利用Christoffel符号和度量张量给出了Riemann空间中仿射共线解存在的充分条件。给出了仿射直射变换群性质的一个证明。物理相关的黎曼空间承认仿射直射的几个例子，并构造运动常数。
Sufficient conditions on the Christoffel symbols and metric tensors to insure the existence of affine collineations in Riemann spaces are obtained. A proof of the group property of affine collineations is given. Several examples of physically relevant Riemannian spaces admitting affine collineations are presented and the constants of motion are constructed.