Publications in Math-Net.Ru |
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2020 |
1. |
S. E. Stepanov, I. A. Aleksandrova, I. I. Tsyganok, “On symmetric Killing tensors and Codazzi tensors of ranks $p\geq 2$”, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 179 (2020), 94–120 |
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2019 |
2. |
I. A. Aleksandrova, S. E. Stepanov, I. I. Tsyganok, “From harmonic mappings to Ricci flows due to the Bochner technique”, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 169 (2019), 75–87 |
3. |
S. E. Stepanov, I. I. Tsyganok, “On the Lichnerovicz Laplacian”, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 169 (2019), 67–74 |
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2018 |
4. |
S. E. Stepanov, I. E. Denezhkina, A. V. Ovchinnikov, “On Geometric Analysis of the Dynamics of Volumetric Expansion and Its Applications to General Relativity”, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 146 (2018), 103–112 |
5. |
V. I. Panzhenskii, S. E. Stepanov, M. V. Sorokina, “Metric Affine Spaces”, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 146 (2018), 89–102 |
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2017 |
6. |
S. E. Stepanov, I. I. Tsyganok, T. V. Dmitrieva, “Harmonic and conformally Killing forms on complete Riemannian manifold”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, 3, 51–57 ; Russian Math. (Iz. VUZ), 61:3 (2017), 44–48 |
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2016 |
7. |
S. E. Stepanov, I. I. Tsyganok, “Harmonic Transforms of Complete Riemannian Manifolds”, Mat. Zametki, 100:3 (2016), 441–449 ; Math. Notes, 100:3 (2016), 465–471 |
8. |
I. A. Alexandrova, S. E. Stepanov, I. I. Tsyganok, “Liouville-type theorems for the theories of Riemannian almost product structures and submersions”, Sib. J. Pure and Appl. Math., 16:4 (2016), 3–12 ; J. Math. Sci., 230:1 (2018), 1–9 |
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2015 |
9. |
S. E. Stepanov, I. A. Alexandrova, I. I. Tsyganok, J. Mikeš, “Conformal Killing forms on totally umbilical submanifolds”, Contemporary Mathematics and Its Applications, 96 (2015), 3–17 ; Journal of Mathematical Sciences, 217:5 (2016), 525–539 |
10. |
S. E. Stepanov, J. Mikeš, “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 ; Izv. Math., 79:2 (2015), 375–387 |
11. |
I. A. Alexandrova, J. Mikeš, S. E. Stepanov, I. I. Tsyganok, “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 ; J. Math. Sci., 221:6 (2017), 737–744 |
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2014 |
12. |
S. E. Stepanov, I. I. Tsyganok, “Theorems of existence and non-existence of conformal Killing forms”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, 10, 54–61 ; Russian Math. (Iz. VUZ), 58:10 (2014), 46–51 |
13. |
S. E. Stepanov, “Betti and Tachibana Numbers”, Mat. Zametki, 95:6 (2014), 926–936 ; Math. Notes, 95:6 (2014), 856–864 |
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2012 |
14. |
S. E. Stepanov, “The Berger–Ebin theorem and harmonic maps and flows”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, 4, 84–89 ; Russian Math. (Iz. VUZ), 56:4 (2012), 70–74 |
15. |
I. A. Gordeeva, S. E. Stepanov, “Three classes of Weitzenböck manifolds”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, 1, 92–95 ; Russian Math. (Iz. VUZ), 56:1 (2012), 83–85 |
16. |
S. E. Stepanov, I. G. Shandra, “New Characteristics of Infinitesimal Isometry and Ricci Solitons”, Mat. Zametki, 92:3 (2012), 459–462 ; Math. Notes, 92:3 (2012), 422–425 |
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2011 |
17. |
S. E. Stepanov, “Curvature and Tachibana numbers”, Mat. Sb., 202:7 (2011), 135–146 ; Sb. Math., 202:7 (2011), 1059–1069 |
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2010 |
18. |
S. E. Stepanov, I. I. Tsyganok, “Infinitesimal harmonic transformations and Ricci solitons on complete Riemannian manifolds”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, 3, 97–101 ; Russian Math. (Iz. VUZ), 54:3 (2010), 84–87 |
19. |
S. E. Stepanov, I. A. Gordeeva, “Pseudo-Killing and Pseudoharmonic Vector Fields on a Riemann–Cartan Manifold”, Mat. Zametki, 87:2 (2010), 267–279 ; Math. Notes, 87:2 (2010), 248–257 |
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2009 |
20. |
S. E. Stepanov, “Curvature and Tachibana numbers”, Fundam. Prikl. Mat., 15:6 (2009), 211–222 ; J. Math. Sci., 172:6 (2011), 901–908 |
21. |
S. E. Stepanov, V. N. Shelepova, “A Note on Ricci Solitons”, Mat. Zametki, 86:3 (2009), 474–477 ; Math. Notes, 86:3 (2009), 447–450 |
22. |
S. E. Stepanov, I. G. Shandra, V. N. Shelepova, “Infinitesimal Harmonic Transformations and Ricci Solitons”, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 151:4 (2009), 150–159 |
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2007 |
23. |
S. E. Stepanov, E. S. Stepanova, I. G. Shandra, “Conjugate connections on statistical manifolds”, Izv. Vyssh. Uchebn. Zaved. Mat., 2007, 10, 90–98 ; Russian Math. (Iz. VUZ), 51:10 (2007), 89–96 |
24. |
T. V. Zudina, S. E. Stepanov, I. G. Shandra, “Equiaffine mappings”, Izv. Vyssh. Uchebn. Zaved. Mat., 2007, 8, 27–34 ; Russian Math. (Iz. VUZ), 51:8 (2007), 25–32 |
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2006 |
25. |
T. V. Zudina, S. E. Stepanov, “On the classification of equivolume mappings of pseudo-Riemannian manifolds”, Izv. Vyssh. Uchebn. Zaved. Mat., 2006, 8, 19–28 ; Russian Math. (Iz. VUZ), 50:8 (2006), 17–25 |
26. |
S. E. Stepanov, “Some conformal and projective scalar invariants of Riemannian manifolds”, Mat. Zametki, 80:6 (2006), 902–907 ; Math. Notes, 80:6 (2006), 848–852 |
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2005 |
27. |
S. E. Stepanov, “Vanishing theorems in affine, Riemannian, and Lorenz geometries”, Fundam. Prikl. Mat., 11:1 (2005), 35–84 ; J. Math. Sci., 141:1 (2007), 929–964 |
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2004 |
28. |
S. E. Stepanov, I. G. Shandra, “Garmonic diffeomorphisms of manifolds”, Algebra i Analiz, 16:2 (2004), 154–171 ; St. Petersburg Math. J., 16:2 (2005), 401–412 |
29. |
S. E. Stepanov, M. V. Smolnikova, “Affine differential geometry of Killing tensors”, Izv. Vyssh. Uchebn. Zaved. Mat., 2004, 11, 82–86 ; Russian Math. (Iz. VUZ), 48:11 (2004), 74–78 |
30. |
M. V. Smolnikova, S. E. Stepanov, I. G. Shandra, “Infinitesimal harmonic transformations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2004, 5, 69–75 ; Russian Math. (Iz. VUZ), 48:5 (2004), 65–70 |
31. |
S. E. Stepanov, “A New Strong Laplacian on Differential Forms”, Mat. Zametki, 76:3 (2004), 452–458 ; Math. Notes, 76:3 (2004), 420–425 |
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2003 |
32. |
S. E. Stepanov, “On the holomorphic mapping of an almost semi-Kähler manifold”, Izv. Vyssh. Uchebn. Zaved. Mat., 2003, 11, 67–69 ; Russian Math. (Iz. VUZ), 47:11 (2003), 63–65 |
33. |
S. E. Stepanov, I. G. Shandra, “The seven classes of harmonic diffeomorphisms and their geometry”, Tr. Geom. Semin., 24 (2003), 139–154 |
34. |
S. E. Stepanov, I. G. Shandra, “Seven Classes of Harmonic Diffeomorphisms”, Mat. Zametki, 74:5 (2003), 752–761 ; Math. Notes, 74:5 (2003), 708–716 |
35. |
S. E. Stepanov, “The Killing–Yano Tensor”, TMF, 134:3 (2003), 382–387 ; Theoret. and Math. Phys., 134:3 (2003), 333–338 |
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2002 |
36. |
S. E. Stepanov, “On an application of the Stokes' theorem in global Riemannian geometry”, Fundam. Prikl. Mat., 8:1 (2002), 245–262 |
37. |
M. V. Smolnikova, S. E. Stepanov, “Fundamental first-order differential operators on exterior and symmetric forms”, Izv. Vyssh. Uchebn. Zaved. Mat., 2002, 11, 55–60 ; Russian Math. (Iz. VUZ), 46:11 (2002), 51–56 |
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2000 |
38. |
S. E. Stepanov, “An analytic method in general relativity”, TMF, 122:3 (2000), 482–496 ; Theoret. and Math. Phys., 122:3 (2000), 402–414 |
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1999 |
39. |
S. E. Stepanov, “On the geometry of projective submersions of Riemannian manifolds”, Izv. Vyssh. Uchebn. Zaved. Mat., 1999, 9, 48–54 ; Russian Math. (Iz. VUZ), 43:9 (1999), 44–50 |
40. |
S. E. Stepanov, “On the classification of almost product structures on a manifold with linear connection”, Izv. Vyssh. Uchebn. Zaved. Mat., 1999, 1, 61–68 ; Russian Math. (Iz. VUZ), 43:1 (1999), 58–64 |
41. |
S. E. Stepanov, “The vector space of the conformal Killing forms on a Riemannian manifold”, Zap. Nauchn. Sem. POMI, 261 (1999), 240–265 ; J. Math. Sci. (New York), 110:4 (2002), 2892–2906 |
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1998 |
42. |
S. E. Stepanov, “Bochner's technique for an $m$-dimensional compact manifold with an $\operatorname{SL}(m,R)$-structure”, Algebra i Analiz, 10:4 (1998), 192–209 ; St. Petersburg Math. J., 10:4 (1999), 703–714 |
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1997 |
43. |
S. E. Stepanov, “On group-theoretic approach to study Einstein's and Maxwell's equations”, TMF, 111:1 (1997), 32–43 ; Theoret. and Math. Phys., 111:1 (1997), 419–427 |
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1996 |
44. |
S. E. Stepanov, “An application of P. A. Shirokov's theorem to the Bochner technique”, Izv. Vyssh. Uchebn. Zaved. Mat., 1996, 9, 53–59 ; Russian Math. (Iz. VUZ), 40:9 (1996), 50–55 |
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1995 |
45. |
S. E. Stepanov, “$O(n)\times O(m-n)$-structures on $m$-dimensional manifolds, and submersions of Riemannian manifolds”, Algebra i Analiz, 7:6 (1995), 188–204 ; St. Petersburg Math. J., 7:6 (1996), 1005–1016 |
46. |
S. E. Stepanov, “On the global theory of projective mappings”, Mat. Zametki, 58:1 (1995), 111–118 ; Math. Notes, 58:1 (1995), 752–756 |
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1994 |
47. |
S. E. Stepanov, “On the theory of mappings of Riemannian manifolds in the large”, Izv. Vyssh. Uchebn. Zaved. Mat., 1994, 10, 81–88 ; Russian Math. (Iz. VUZ), 38:10 (1994), 77–84 |
48. |
S. E. Stepanov, “An integral formula for a compact manifold with a Riemannian almost-product structure”, Izv. Vyssh. Uchebn. Zaved. Mat., 1994, 7, 69–73 ; Russian Math. (Iz. VUZ), 38:7 (1994), 66–70 |
49. |
S. E. Stepanov, I. I. Tsyganok, “A vector field on a Lorentz manifold”, Izv. Vyssh. Uchebn. Zaved. Mat., 1994, 3, 81–83 ; Russian Math. (Iz. VUZ), 38:3 (1994), 79–81 |
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1992 |
50. |
S. E. Stepanov, “Weyl submersions”, Izv. Vyssh. Uchebn. Zaved. Mat., 1992, 5, 93–95 ; Russian Math. (Iz. VUZ), 36:5 (1992), 87–89 |
51. |
S. E. Stepanov, “Fields of symmetric tensors on a compact Riemannian manifold”, Mat. Zametki, 52:4 (1992), 85–88 ; Math. Notes, 52:4 (1992), 1048–1050 |
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1990 |
52. |
S. E. Stepanov, “Bochner's technique in the theory of Riemannian almost product structures”, Mat. Zametki, 48:2 (1990), 93–98 ; Math. Notes, 48:2 (1990), 778–781 |
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1989 |
53. |
S. E. Stepanov, “A class of Riemannian almost-product structures”, Izv. Vyssh. Uchebn. Zaved. Mat., 1989, 7, 40–46 ; Soviet Math. (Iz. VUZ), 33:7 (1989), 51–59 |
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1986 |
54. |
S. E. Stepanov, “Spherical distribution in Euclidean space”, Izv. Vyssh. Uchebn. Zaved. Mat., 1986, 9, 76–78 ; Soviet Math. (Iz. VUZ), 30:9 (1986), 104–107 |
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1984 |
55. |
S. E. Stepanov, “On the theory of multidimensional nets”, Izv. Vyssh. Uchebn. Zaved. Mat., 1984, 12, 51–54 ; Soviet Math. (Iz. VUZ), 28:12 (1984), 62–66 |
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1983 |
56. |
S. E. Stepanov, “Classification of rigged hypersurfaces by nets”, Izv. Vyssh. Uchebn. Zaved. Mat., 1983, 10, 74–76 ; Soviet Math. (Iz. VUZ), 27:10 (1983), 94–96 |
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