ISSN:
1572-9575
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract This paper serves two purposes. On one hand it corrects an error made in an earlier paper and brought to my attention by a paper of Borowiec, who noted some problems with the “Hyperchristoffel connection.” It is shown here that the “Hyperchristoffel connection” does not transform like a connection, nor is it metric, as I erroneously claimed. On the other hand, the hyperspin geometry is reformulated in terms ofG-structures, also motivated by Borowiec's comment. This provides a mathematically precise, index-free formulation of hyperspinors and Bergmann manifolds, and in addition allows me to use the old results of Weyl-Cartan, corrected by Kobayashiet al., about the existence of torsion-freeG-connections. I find that in general aB N, N〉2, does not possess a torsion-freeG-connection.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00670215
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