Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2011 4 (3)
- Authors
- Krivonosov, Leonid N.; Lukyanov, Vyacheslav A.
- Contact information
- Krivonosov, Leonid N. :; Lukyanov, Vyacheslav A. : e-mail: c Siberian Federal
- Keywords
- curvature of the connection; Hodge operator; Einstein equations; Maxwell's equations; Young- Mills equations; central-symmetric metrics; 4-dimensional conformally connected manifold
- Abstract
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 ς-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.
- Pages
- 350-362
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/2421
Journal of Siberian Federal University. Mathematics & Physics / The Full Decision of Young-Mills Equations for the Central-Symmetric Metrics
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