LINEAR CONNECTIONS ON EXTENDED SPACE-TIME
arXiv:hep-th/9502017 · doi:10.1063/1.531292
Abstract
A modification of Kaluza-Klein theory is proposed which is general enough to admit an arbitrary finite noncommutative internal geometry. It is shown that the existence of a non-trival extension to the total geometry of a linear connection on space-time places severe restrictions on the structure of the noncommutative factor. A counter-example is given.
15 pages, plain TeX