(1) Laboratoire de Physique Théorique et Hautes Energies, Université de Paris-Sud, Bât. 211, F-91405 Orsay, France;(2) Laboratoire de Modèles de Physique Mathématique Parc de Grandmont, Université de Tours, F-37200 Tours, France
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.