Deformations of classical geometries and integrable systems
Dimakis, A. ; Muller-Hoissen, F.
arXiv, 9712002 / Harvested from arXiv
Text on arXiv
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.
Publié le : 1997-12-01
Classification:  Mathematical Physics,  General Relativity and Quantum Cosmology,  High Energy Physics - Theory,  Mathematics - Quantum Algebra,  Nonlinear Sciences - Exactly Solvable and Integrable Systems 
@article{9712002,
     author = {Dimakis, A. and Muller-Hoissen, F.},
     title = {Deformations of classical geometries and integrable systems},
     journal = {arXiv},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9712002}
}

Dimakis, A.; Muller-Hoissen, F. Deformations of classical geometries and integrable systems. arXiv, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/9712002/