Lukyanov Vyacheslav A

Publications in Math-Net.Ru

1. (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
2. 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
3. Specificity of Petrov classification of (anti-)self-dual zero signature metrics
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 9,  56–67
4. The main theorem for (anti)self-dual conformal torsion-free connection
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 2,  29–38
5. 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
6. Conformal connection with scalar curvature
   
   Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 28:1 (2018),  22–35
7. 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
8. 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
9. 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
10. 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. Extremal curves in the conformal space and in an associated bundle
    
    J. Sib. Fed. Univ. Math. Phys., 7:1 (2014),  68–78
12. 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
13. 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
14. Einstein's equations on a $4$-manifold of conformal torsion-free connection
    
    J. Sib. Fed. Univ. Math. Phys., 5:3 (2012),  393–408
15. The full decision of Young–Mills equations for the central-symmetric metrics
    
    J. Sib. Fed. Univ. Math. Phys., 4:3 (2011),  350–362
16. The relationship between the Einstein and Yang–Mills equations
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 9,  69–74
17. One-dimensional Lagrangians generated by a quadratic form
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 5,  33–44
18. Yang–Mills equations in 4-dimensional conform connection manifolds
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 3,  67–72
19. Connection of Young-Mills Equations with Einstein and Maxwell's Equations
    
    J. Sib. Fed. Univ. Math. Phys., 2:4 (2009),  432–448