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17 September 2019
 
  » arxiv » physics/9712002

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Deformations of classical geometries and integrable systems
A. Dimakis ; F. Muller-Hoissen ;
Date 1 Dec 1997
Subject Mathematical Physics; Quantum Algebra; Exactly Solvable and Integrable Systems | physics gr-qc hep-th math-ph math.MP math.QA nlin.SI q-alg solv-int
AbstractA generalization of the notion of a (pseudo-) Riemannian space is proposed in a framework of noncommutative geometry. In particular, there are parametrized families of generalized Riemannian spaces which are deformations of classical geometries. We also introduce harmonic maps on generalized Riemannian spaces into Hopf algebras and make contact with integrable models in two dimensions.
Source arXiv, physics/9712002
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