Leonid N. Krivonosov, Vyacheslav A. Lukyanov, “Solving Yang–Mills equations for 4-metrics of Petrov types II, N, III”, J. Sib. Fed. Univ. Math. Phys., 2014, Volume 7, Issue 4,Pages <nobr>472

Solving Yang–Mills equations for 4-metrics of Petrov types II, N, III

Leonid N. Krivonosov^a, Vyacheslav A. Lukyanov^b

^a Nizhny Novgorod State Technical University, Minina, 24, Nizhny Novgorod, 603950, Russia
^b Nizhny Novgorod State Technical University, Zavolzhsky branch, Pavlovskogo, 1a, Zavolzhye, Nizhegorodskaya region, 606520, Russia

Abstract: 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.

UDC: 514.822

Received: 10.06.2014
Received in revised form: 02.07.2014
Accepted: 30.08.2014

Language: English