Deformations of classical geometries and integrable systems

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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.
14 pages, LaTeX

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Mathematical Physics, General Relativity and Quantum Cosmology, High Energy Physics - Theory, Quantum Algebra, Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/173328

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/physics/9712002
 http://arxiv.org/abs/physics/9712002

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arXiv