Stepanov Sergey Evgenevich

Publications in Math-Net.Ru

1. Differential equations and their general solutions, as well as nonexistence theorems for six invariant classes of the vacuum constraint equations
   
   TMF, 225:1 (2025),  159–176
2. A contribution of the generalized Bochner technique to the geometry of complete minimal submanifolds
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 236 (2024),  22–30
3. Lichnerowicz Laplacian from the Viewpoint of Bochner Technique
   
   Mat. Zametki, 115:4 (2024),  483–490
4. Generalized Bochner technique and its application to the study of projective and conformal mappings
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 223 (2023),  112–122
5. Codazzi and Killing Tensors on a Complete Riemannian Manifold
   
   Mat. Zametki, 109:6 (2021),  901–911
6. On symmetric Killing tensors and Codazzi tensors of ranks $p\geq 2$
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 179 (2020),  94–120
7. From harmonic mappings to Ricci flows due to the Bochner technique
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 169 (2019),  75–87
8. On the Lichnerovicz Laplacian
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 169 (2019),  67–74
9. On Geometric Analysis of the Dynamics of Volumetric Expansion and Its Applications to General Relativity
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 146 (2018),  103–112
10. Metric Affine Spaces
    
    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 146 (2018),  89–102
11. Harmonic and conformally Killing forms on complete Riemannian manifold
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 3,  51–57
12. Harmonic Transforms of Complete Riemannian Manifolds
    
    Mat. Zametki, 100:3 (2016),  441–449
13. Liouville-type theorems for the theories of Riemannian almost product structures and submersions
    
    Sib. J. Pure and Appl. Math., 16:4 (2016),  3–12
14. Conformal Killing forms on totally umbilical submanifolds
    
    Contemporary Mathematics and Its Applications, 96 (2015),  3–17
15. The Hodge–de Rham Laplacian and Tachibana operator on a compact Riemannian manifold with curvature operator of definite sign
    
    Izv. RAN. Ser. Mat., 79:2 (2015),  167–180
16. Theorems of Liuville types in theory mappings of the complete Riemannian manifolds
    
    Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 15:3 (2015),  3–10
17. Theorems of existence and non-existence of conformal Killing forms
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 10,  54–61
18. Betti and Tachibana Numbers
    
    Mat. Zametki, 95:6 (2014),  926–936
19. Tachibana operator
    
    University proceedings. Volga region. Physical and mathematical sciences, 2013, no. 4,  82–92
20. The Berger–Ebin theorem and harmonic maps and flows
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 4,  84–89
21. Three classes of Weitzenböck manifolds
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 1,  92–95
22. New Characteristics of Infinitesimal Isometry and Ricci Solitons
    
    Mat. Zametki, 92:3 (2012),  459–462
23. Curvature and Tachibana numbers
    
    Mat. Sb., 202:7 (2011),  135–146
24. Infinitesimal harmonic transformations and Ricci solitons on complete Riemannian manifolds
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 3,  97–101
25. Pseudo-Killing and Pseudoharmonic Vector Fields on a Riemann–Cartan Manifold
    
    Mat. Zametki, 87:2 (2010),  267–279
26. Curvature and Tachibana numbers
    
    Fundam. Prikl. Mat., 15:6 (2009),  211–222
27. A Note on Ricci Solitons
    
    Mat. Zametki, 86:3 (2009),  474–477
28. Infinitesimal Harmonic Transformations and Ricci Solitons
    
    Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 151:4 (2009),  150–159
29. Conjugate connections on statistical manifolds
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2007, no. 10,  90–98
30. Equiaffine mappings
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2007, no. 8,  27–34
31. On the classification of equivolume mappings of pseudo-Riemannian manifolds
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2006, no. 8,  19–28
32. Some conformal and projective scalar invariants of Riemannian manifolds
    
    Mat. Zametki, 80:6 (2006),  902–907
33. Vanishing theorems in affine, Riemannian, and Lorenz geometries
    
    Fundam. Prikl. Mat., 11:1 (2005),  35–84
34. Garmonic diffeomorphisms of manifolds
    
    Algebra i Analiz, 16:2 (2004),  154–171
35. Affine differential geometry of Killing tensors
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2004, no. 11,  82–86
36. Infinitesimal harmonic transformations
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2004, no. 5,  69–75
37. A New Strong Laplacian on Differential Forms
    
    Mat. Zametki, 76:3 (2004),  452–458
38. On the holomorphic mapping of an almost semi-Kähler manifold
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2003, no. 11,  67–69
39. The seven classes of harmonic diffeomorphisms and their geometry
    
    Tr. Geom. Semin., 24 (2003),  139–154
40. Seven Classes of Harmonic Diffeomorphisms
    
    Mat. Zametki, 74:5 (2003),  752–761
41. The Killing–Yano Tensor
    
    TMF, 134:3 (2003),  382–387
42. On an application of the Stokes' theorem in global Riemannian geometry
    
    Fundam. Prikl. Mat., 8:1 (2002),  245–262
43. Fundamental first-order differential operators on exterior and symmetric forms
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2002, no. 11,  55–60
44. An analytic method in general relativity
    
    TMF, 122:3 (2000),  482–496
45. On the geometry of projective submersions of Riemannian manifolds
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1999, no. 9,  48–54
46. On the classification of almost product structures on a manifold with linear connection
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1999, no. 1,  61–68
47. The vector space of the conformal Killing forms on a Riemannian manifold
    
    Zap. Nauchn. Sem. POMI, 261 (1999),  240–265
48. Bochner's technique for an $m$-dimensional compact manifold with an $\operatorname{SL}(m,R)$-structure
    
    Algebra i Analiz, 10:4 (1998),  192–209
49. On group-theoretic approach to study Einstein's and Maxwell's equations
    
    TMF, 111:1 (1997),  32–43
50. An application of P. A. Shirokov's theorem to the Bochner technique
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1996, no. 9,  53–59
51. $O(n)\times O(m-n)$-structures on $m$-dimensional manifolds, and submersions of Riemannian manifolds
    
    Algebra i Analiz, 7:6 (1995),  188–204
52. On the global theory of projective mappings
    
    Mat. Zametki, 58:1 (1995),  111–118
53. On the theory of mappings of Riemannian manifolds in the large
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1994, no. 10,  81–88
54. An integral formula for a compact manifold with a Riemannian almost-product structure
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1994, no. 7,  69–73
55. A vector field on a Lorentz manifold
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1994, no. 3,  81–83
56. Weyl submersions
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1992, no. 5,  93–95
57. Fields of symmetric tensors on a compact Riemannian manifold
    
    Mat. Zametki, 52:4 (1992),  85–88
58. Bochner's technique in the theory of Riemannian almost product structures
    
    Mat. Zametki, 48:2 (1990),  93–98
59. A class of Riemannian almost-product structures
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1989, no. 7,  40–46
60. Spherical distribution in Euclidean space
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1986, no. 9,  76–78
61. On the theory of multidimensional nets
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1984, no. 12,  51–54
62. Classification of rigged hypersurfaces by nets
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 10,  74–76