Quasi-Frobenius algebras and their integrable N-parametric deformations generated by compatible (N x N)-metrics of constant Riemannian curvature

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We prove that the description of pencils of compatible (N x N)-metrics of constant Riemannian curvature is equivalent to a special class of integrable N-parametric deformations of quasi-Frobenius (in general, noncommutative) algebras.
13 pages

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Differential Geometry, High Energy Physics - Theory, Mathematical Physics, Rings and Algebras, Symplectic Geometry, Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/98069

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0209262
 http://arxiv.org/abs/math/0209262
 Theor.Math.Phys. 136 (2003) 908-916; Teor.Mat.Fiz. 136 (2003) 20-29

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