Geodesic
The full decision of Young–Mills equations for the central-symmetric metrics
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 3, pp. 350-362 Cet article a éte moissonné depuis la source Math-Net.Ru

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This article develops the researches begun in [1]. The system of the differential Young–Mills equations for the central-symmetric metrics is deduced. The general solution of this system expressed through elliptic $\wp$-function of Weierstrass is resulted. For several special cases the solutions expressed through elementary functions are received. Criteria that the metrics which is the direct sum of two binary quadratic forms is Einstein metrics and the conformally-flat metrics are proved.
Keywords: curvature of the connection, Hodge operator, Einstein equations, Maxwell's equations, Young–Mills equations, central-symmetric metrics, 4-dimensional conformally connected manifold. 
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Leonid N. Krivonosov; Vyacheslav A. Luk'yanov. The full decision of Young–Mills equations for the central-symmetric metrics. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 3, pp. 350-362. http://geodesic.mathdoc.fr/item/JSFU_2011_4_3_a8/

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