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SLh(2)-Symmetric Torsionless Connections |
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| Authors: | Khorrami A.M. Shariati A. AGHAMOHAMMADI A. |
| Affiliation: | (1) Institute for Studies in Theoretical Physics and Mathematics, PO Box 5531, Tehran, 19395, Iran;(2) Department of Physics, Tehran University, North-Kargar Ave., Tehran, Iran;(3) Institute for Advanced Studies in Basic Sciences, PO Box 159, Gava Zang, Zanjan, 45195, Iran;(4) Department of Physics, Alzahra University, Tehran, 19834, Iran |
| Abstract: | 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, linearconnection, 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. |
| Keywords: | noncommutative geometry symmetric torsionless connections |
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