Geodesic Curves on Quantized Manifolds |
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| Authors: | Milani V. Shafei Deh Abad A. |
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| Affiliation: | (1) Institute for Studies in Theoretical Physics and Mathematics, PO Box, 19395-5531 Tehran, Iran;(2) Department of Mathematics, University of Shahid Beheshti, Tehran, Iran;(3) Department of Mathematics, University of Tehran, Tehran, Iran |
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| Abstract: | 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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| Keywords: | Geodesic curves noncommutative geometry quantum groups. |
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