On poisson structure and curvature |
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| Affiliation: | Laboratoire de Physique Théorique et Hautes Energies, Université de Paris-Sud, Bât. 211, F-91405 Orsay, France;Mathematical Institute, University of Oxford, Andrew Wiles Building, Radcliffe Observatory Quarter, Woodstock Road, Oxford, OX2 6GG, United Kingdom |
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| Abstract: | We consider a curved space-time whose algebra of functions is the commutative limit of a noncommutative algebra and which has therefore an induced Poisson structure. In a simple example we determine a relation between this structure and the Riemann tensor. |
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