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Paper IPM / P / 6545  


Abstract:  
The most general SL_{h}(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 qplane to the hplane. There is
also a part in the covariant derivative, linear connection, and curvature which
does not have any qanalogue. It is seen that the covariant derivative of the
hplane is `more classical' or `less quantized' than that of the qplane.
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