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Linear connections on the quantum plane

Michel Dubois-Violette, John Madore, Thierry Masson, Jihad Mourad

hep-tharXiv:hep-th/9410199

Abstract

A general definition has been proposed recently of a linear connection and a metric in noncommutative geometry. It is shown that to within normalization there is a unique linear connection on the quantum plane and there is no metric.

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