Deformations of classical geometries and integrable systems
Mathematical Physics
2008-11-06 v2 General Relativity and Quantum Cosmology
High Energy Physics - Theory
math.MP
Quantum Algebra
Exactly Solvable 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.
Cite
@article{arxiv.physics/9712002,
title = {Deformations of classical geometries and integrable systems},
author = {A. Dimakis and F. Muller-Hoissen},
journal= {arXiv preprint arXiv:physics/9712002},
year = {2008}
}
Comments
14 pages, LaTeX