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Linear connections on the quantum plane

High Energy Physics - Theory 2009-10-28 v1 Quantum Algebra

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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Cite

@article{arxiv.hep-th/9410199,
  title  = {Linear connections on the quantum plane},
  author = {Michel Dubois-Violette and John Madore and Thierry Masson and Jihad Mourad},
  journal= {arXiv preprint arXiv:hep-th/9410199},
  year   = {2009}
}

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9 pages