Shearfree congruences of null geodesies and killing tensors
✍ Scribed by W. Dietz; R. Rüdiger
- Publisher
- Springer US
- Year
- 1980
- Tongue
- English
- Weight
- 773 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0001-7701
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📜 SIMILAR VOLUMES
## Abstract We present the properties of new Dirac‐type operators generated by real or complex‐valued special Killing‐Yano tensors that are covariantly constant and represent roots of the metric tensor. In the real case these are just the so called complex or hyper‐complex structures of the Kähleri
If a Riemannian manifold admits a conformal Killing tensor whose torsion, in the sense of Nijenhuis, vanishes, and whose eigenfunctions are independent, then the Hamilton-Jacobi equation for its geodesics is solvable by separation of variables. The paper is devoted to developing a theory of this cla