Geodesic
On the integrability of the generalized Yang–Mills system
A. Lesfari1 ; A. Elachab2
1 Department of Mathematics Faculty of Sciences University of Chouaïb Doukkali B.P. 20, El-Jadida, Morocco
2 Department of Mathematics Faculty of Sciences University of Chouaïb Doukkali B.P. 20, El-Jadida, Morocco.
Applicationes Mathematicae, Tome 31 (2004) no. 3, pp. 345-351 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We consider a hamiltonian system which, in a special case and under the gauge group $SU(2)$, can be considered as a reduction of the Yang–Mills field equations. We prove explicitly, using the Lax spectral curve technique and the van Moerbeke–Mumford method, that the flows generated by the constants of motion are straight lines on the Jacobi variety of a genus two Riemann surface.
DOI : 10.4064/am31-3-8
Keywords: consider hamiltonian system which special under gauge group considered reduction yang mills field equations prove explicitly using lax spectral curve technique van moerbeke mumford method flows generated constants motion straight lines jacobi variety genus riemann surface

A. Lesfari 1 ; A. Elachab 2

1 Department of Mathematics Faculty of Sciences University of Chouaïb Doukkali B.P. 20, El-Jadida, Morocco
2 Department of Mathematics Faculty of Sciences University of Chouaïb Doukkali B.P. 20, El-Jadida, Morocco. 
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A. Lesfari; A. Elachab. On the integrability of the generalized
 Yang–Mills system. Applicationes Mathematicae, Tome 31 (2004) no. 3, pp. 345-351. doi: 10.4064/am31-3-8

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