Geodesic
Solving Yang--Mills equations for 4-metrics of Petrov types II, N, III
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 7 (2014) no. 4, pp. 472-488

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We have produced 4 series of 4-metrics satisfying Yang–Mills equations for each of types II, N, III.
Keywords: Einstein equations, Yang–Mills equations, manifold with conformal connection with torsion and without torsion. 
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     author = {Leonid N. Krivonosov and Vyacheslav A. Lukyanov},
     title = {Solving {Yang--Mills} equations for 4-metrics of {Petrov} types {II,} {N,} {III}},
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Leonid N. Krivonosov; Vyacheslav A. Lukyanov. Solving Yang--Mills equations for 4-metrics of Petrov types II, N, III. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 7 (2014) no. 4, pp. 472-488. http://geodesic.mathdoc.fr/item/JSFU_2014_7_4_a6/