Leonid N. Krivonosov, Vyacheslav A. Lukyanov, “Svyaz uravnenii Yanga–Millsa s uravneniyami Einshteina i Maksvella”, Zhurn. SFU. Ser. Matem. i fiz., 2:4 (2009), 432–448
L. N. Krivonosov, V. A. Lukyanov, “(Anti) self-dual Einstein metrics of zero signature, their Petrov classes and connection with Kahler and para-Kahler structures”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 9, 39–53; Russian Math. (Iz. VUZ), 66:9 (2022), 33–45
2021
2.
L. N. Krivonosov, V. A. Lukyanov, “Hermitian metrics with (anti-)self-dual Riemann tensor”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 25:4 (2021), 616–633
L. N. Krivonosov, V. A. Luk"yanov, “Specificity of Petrov classification of (anti-)self-dual zero signature metrics”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 9, 56–67; Russian Math. (Iz. VUZ), 64:9 (2020), 50–60
L. N. Krivonosov, V. A. Lukyanov, “The main theorem for (anti)self-dual conformal torsion-free connection”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 2, 29–38; Russian Math. (Iz. VUZ), 63:2 (2019), 25–34
L. N. Krivonosov, V. A. Lukyanov, “Duality equations on a 4-manifold of conformal torsion-free connection and some of their solutions for the zero signature”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 23:2 (2019), 207–228
L. N. Krivonosov, V. A. Luk'yanov, “Conformal connection with scalar curvature”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 28:1 (2018), 22–35
2017
7.
L. N. Krivonosov, V. A. Luk'yanov, “The structure of the main tensor of conformally connected torsion-free space. Conformal connections on hypersurfaces of projective space”, Sib. J. Pure and Appl. Math., 17:2 (2017), 21–38; J. Math. Sci., 231:2 (2018), 189–205
V. A. Luk'yanov, L. N. Krivonosov, “Yang–Mills equations on conformally connected torsion-free 4-manifolds with different signatures”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 21:4 (2017), 633–650
L. N. Krivonosov, V. A. Luk'yanov, “The complete solution of the Yang-Mills equations for centrally symmetric metric
in the presence of electromagnetic field”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 19:3 (2015), 462–473
2014
10.
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., 7:4 (2014), 472–488
11.
Leonid N. Krivonosov, Vyacheslav A. Luk'yanov, Lubov V. Voloskova, “Extremal curves in the conformal space and in an associated bundle”, J. Sib. Fed. Univ. Math. Phys., 7:1 (2014), 68–78
12.
L. N. Krivonosov, V. A. Luk'yanov, “Gauge-invariant Tensors of 4-Manifold with Conformal Torsion-free Connection and their Applications for Modeling of Space-time”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(35) (2014), 180–198
Leonid N. Krivonosov, Vyacheslav A. Lukyanov, “Purely time-dependent solutions to the Yang–Mills equations on a $4$-dimensional manifold with conformal torsion-free connection”, J. Sib. Fed. Univ. Math. Phys., 6:1 (2013), 40–52
Leonid N. Krivonosov, Vyacheslav A. Luk'yanov, “Einstein's equations on a $4$-manifold of conformal torsion-free connection”, J. Sib. Fed. Univ. Math. Phys., 5:3 (2012), 393–408
Leonid N. Krivonosov, Vyacheslav A. Luk'yanov, “The full decision of Young–Mills equations for the central-symmetric metrics”, J. Sib. Fed. Univ. Math. Phys., 4:3 (2011), 350–362
L. N. Krivonosov, V. A. Luk'yanov, “The relationship between the Einstein and Yang–Mills equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 9, 69–74; Russian Math. (Iz. VUZ), 53:9 (2009), 62–66
Leonid N. Krivonosov, Vyacheslav A. Luk'yanov, “Connection of Young-Mills Equations with Einstein and Maxwell's Equations”, J. Sib. Fed. Univ. Math. Phys., 2:4 (2009), 432–448
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