Krivonosov Leonid Nikolaevich

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. Connection of Young-Mills Equations with Einstein and Maxwell's Equations
    
    J. Sib. Fed. Univ. Math. Phys., 2:4 (2009),  432–448
18. Geometric interpretation of a system of Bers–Gelbart equations and similar systems
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1981, no. 6,  75–77
19. Two topological invariants of metrizable spaces and their connection with dimension
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1978, no. 7,  46–50
20. A certain extension of metric spaces
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1975, no. 4,  33–36
21. Localized sequences in metric spaces
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1974, no. 4,  45–54
22. A certain method of prescribing a pre-Hilbertian norm
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1972, no. 1,  52–54
23. Principal nets of parallel and normal correspondence of surfaces in $E_4$
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1968, no. 1,  81–91
24. Surfaces in $E_4$ generating a sequence of evolute surfaces
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1966, no. 6,  74–84
25. Parallel and normal correspondence of two-dimensional surfaces in the four-dimensional Euclidean space $E_4$
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1966, no. 5,  78–87
26. On circles of conformal space
    
    Uchenye Zapiski Kazanskogo Universiteta, 123:1 (1963),  78–102


27. Letter to the editors
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1969, no. 3,  127