LINEAR CONNECTIONS ON EXTENDED SPACE-TIME
A. Kehagias, J. Madore, J. Mourad, G. Zoupanos
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.
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