Deformations of classical geometries and integrable systems
Abstract
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.
 Publication:

arXiv eprints
 Pub Date:
 December 1997
 arXiv:
 arXiv:physics/9712002
 Bibcode:
 1997physics..12002D
 Keywords:

 Mathematical Physics;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory;
 Mathematics  Quantum Algebra;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems
 EPrint:
 14 pages, LaTeX