Abstract
The existence of conformally invariant geometrical objects and tensors which are functions of the metric tensor is investigated. It is shown that every such conformal object is a differential concomitant of an object
K
a
bc
constructed from the metric connexion. In spaces where the Weyl tensor possesses a non-vanishing invariant two sequences of conformal tensors are constructed, which together generate all conformally invariant tensors of the space.
Reference10 articles.
1. Zur W eylschen R elativitatstheorie. M ath;Bach R.;Z .,1921
2. McLenaghan R. An explicit determination of the em pty space-times on which the w ave equation satisfies H uygens's principle. (To be published.)
3. Penrose R. i 960 A spinor approach to general relativity. A nnals P hysics 10 171-201.
4. Zero rest-mass fields including gravitation: asymptotic behaviour
5. Pirani F. A. E. 1962 Gravitational radiation in Gravitation an introduction to current research. (Edited by L. W itten) pp. 199-226. N ew York: W iley.
Cited by
18 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献