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Paper   IPM / Physic / 6605
School of Physics
  Title:   Geodesic Curves on Quantized Manifolds
1.  V. Milani
2.  A. Shafei Deh Abad
  Status:   Published
  Journal: Lett. Math. Phys.
  No.:  35
  Vol.:  40
  Year:  1997
  Pages:   391-394
  Supported by:  IPM
A general definition of curves and geodesics associated with a given connection on a quantized manifold is given. In the particular case of 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 Manin plane

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