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Linear connections on the quantum plane

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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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Authors and Affiliations

  1. Laboratoire de Physique Théorique et Hautes Energies, Université de Paris-Sud, Bât. 211, F-91405, Orsay, France

    M. Dubois-Violette, J. Madore & T. Masson

  2. Laboratoire de Modèles de Physique Mathématique Parc de Grandmont, Université de Tours, F-37200, Tours, France

    J. Mourad

Authors
  1. M. Dubois-Violette
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  2. J. Madore
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  3. T. Masson
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  4. J. Mourad
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Dubois-Violette, M., Madore, J., Masson, T. et al. Linear connections on the quantum plane. Lett Math Phys 35, 351–358 (1995). https://doi.org/10.1007/BF00750842

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  • DOI: https://doi.org/10.1007/BF00750842

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