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Noncommutative geometry and a class of completely integrable models - MaRDI portal

Noncommutative geometry and a class of completely integrable models (Q1574913)

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Noncommutative geometry and a class of completely integrable models
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    Noncommutative geometry and a class of completely integrable models (English)
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    14 August 2000
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    A generalization of classical (pseudo-) Riemannian geometries is obtained by generalizing the concept of differential forms. To this end the authors introduce a Hodge operator in a framework of noncommutative geometry. The authors present a class of completely integrable generalized harmonic maps into matrix algebras which are noncommutative analogues of harmonic maps into groups.
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    differential form
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    harmonic map
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    completely integrable gneralized harmonic maps
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