English

On Curvature in Noncommutative Geometry

q-alg 2009-10-28 v1 dg-ga Differential Geometry Quantum Algebra

Abstract

A general definition of a bimodule connection in noncommutative geometry has been recently proposed. For a given algebra this definition is compared with the ordinary definition of a connection on a left module over the associated enveloping algebra. The corresponding curvatures are also compared.

Keywords

Cite

@article{arxiv.q-alg/9512004,
  title  = {On Curvature in Noncommutative Geometry},
  author = {M. Dubois-Violette and J. Madore and T. Masson and J. Mourad},
  journal= {arXiv preprint arXiv:q-alg/9512004},
  year   = {2009}
}

Comments

16 pages, PlainTex

R2 v1 2026-07-22T19:20:49.908Z