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
References in corpus (8)
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Cited by in corpus (7)
- Linear Connections in Non-Commutative Geometry
- Metrics and Pairs of Left and Right Connections on Bimodules
- ON THE ORIGIN OF KALUZA-KLEIN STRUCTURE
- Linear Connections on Graphs
- On The non-commutative Riemannian geometry of GL_q(n)
- Towards new relativistic doubly -deformed D=4 quantum phase spaces
- On Some Aspects of Linear Connections in Noncommutative Geometry