Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 234-238 |
| Number of pages | 5 |
| Journal | Journal of Mathematical Physics |
| Volume | 32 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1991 |