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Paper   IPM / Physic / 6545
School of Physics
  Title:   SLh(2) Symmetric Torsionless Connections
1.  A. Aghamohammadi
2.  M. Khorrami
3.  A. Shariati
  Status:   Published
  Journal: Lett. Math. Phys.
  No.:  35
  Vol.:  40
  Year:  1997
  Pages:   95-99
  Supported by:  IPM
The most general SLh(2)-symmetric torsionless linear connection is constructed. This is done based on a recently proposed definition of a linear connection in noncommutative geometry. Part of the results can be obtained by using the singular map which relates the q-plane to the h-plane. There is also a part in the covariant derivative, linear connection, and curvature which does not have any q-analogue. It is seen that the covariant derivative of the h-plane is `more classical' or `less quantized' than that of the q-plane.

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