dorsal/arxiv
View SchemaDeformations of classical geometries and integrable systems
| Authors | A. Dimakis, F. Muller-Hoissen |
|---|---|
| Categories | |
| ArXiv ID | physics/9712002 |
| URL | https://arxiv.org/abs/physics/9712002 |
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.
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"abstract": "A generalization of the notion of a (pseudo-) Riemannian space is proposed in\na framework of noncommutative geometry. In particular, there are parametrized\nfamilies of generalized Riemannian spaces which are deformations of classical\ngeometries. We also introduce harmonic maps on generalized Riemannian spaces\ninto Hopf algebras and make contact with integrable models in two dimensions.",
"arxiv_id": "physics/9712002",
"authors": [
"A. Dimakis",
"F. Muller-Hoissen"
],
"categories": [
"math-ph",
"gr-qc",
"hep-th",
"math.MP",
"math.QA",
"nlin.SI"
],
"title": "Deformations of classical geometries and integrable systems",
"url": "https://arxiv.org/abs/physics/9712002"
},
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