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Geodesic Curves on Quantized Manifolds

High Energy Physics - Theory 2007-05-23 v1

Abstract

A general definition of the curves and geodesics associated with a given connection on a quantized manifold is given. In the particular case of the functional quantization we define geodesics in the same way as in the classical case and we will show that the two definitions are compatible. As an example we examine our results for the quantum plane.

Keywords

Cite

@article{arxiv.hep-th/9606084,
  title  = {Geodesic Curves on Quantized Manifolds},
  author = {V. Milani and A. Shafei Deh Abad},
  journal= {arXiv preprint arXiv:hep-th/9606084},
  year   = {2007}
}

Comments

Latex, 7 pages