ISSN:
1572-9575
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract A hyperspin manifoldS N constructed fromN-component hyperspinors is an alternative to Riemannian manifoldsR n for Kaluza-Klein-type theories of higher dimensions. Hyperspin manifolds possess a fundamental Chronometric tensor withN n-valued indices, where alwaysn=N 2. Some concepts of Riemannian geometry therefore have to be extended. A hyper-Christoffel formula is presented that expresses the connection in terms of the chronometric, assuming the Chronometric is covariantly constant and the connection is torsion-free. Thus, the chronometric can be used as sole dynamical variable. Extremals and selfparallel curves, which coincide in Riemannian manifolds, in general differ in hyperspin manifolds, but coincide again for nonnull curves.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00668691
