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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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/

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[3] L. N. Krivonosov, V. A. Luk'yanov, “The full solution of Yang-Mills equations for the central-symmetric metrics”, Journal of Siberian Federal University. Mathematics $\$ Physics, 4:3 (2011), 350–362 (in Russ.)

[4] L. N. Krivonosov, V. A. Luk'yanov, “Purely time-dependent solutions to the Yang–Mills equations on a 4-dimensional manifold with conformal torsion-free connection”, Journal of Siberian Federal University. Mathematics $\$ Physics, 6:1 (2013), 40–52

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