• Corpus ID: 18044584

Deformations of Classical Geometries and Integrable Systems

  title={Deformations of Classical Geometries and Integrable Systems},
  author={Aristophanes Dimakis and Folkert Muller-Hoissen},
  journal={arXiv: Mathematical Physics},
A 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. 
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