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arXiv · q-alg/9601023

Differential Calculi and Linear Connections

Aristophanes Dimakis·J. Madore
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Abstract

A method is proposed for defining an arbitrary number of differential calculi over a given noncommutative associative algebra. As an example the generalized quantum plane is studied. It is found that there is a strong correlation, but not a one-to-one correspondence, between the module structure of the 1-forms and the metric torsion-free connections on it. In the commutative limit the connection remains as a shadow of the algebraic structure of the 1-forms.

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BibTeXRIS

Aristophanes Dimakis, J. Madore. 1996-01-23. Differential Calculi and Linear Connections. https://doi.org/10.1063/1.531645

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