Sabitov Idzhad Khakovich

Publications in Math-Net.Ru

1. Isotermic coordinate system on surfaces of revolution
   
   Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2025, no. 2,  29–36
2. Research activity of the Chair of Mathematical Analysis
   
   Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2025, no. 1,  61–65
3. On a Berger problem
   
   Mat. Zametki, 116:4 (2024),  578–583
4. Infinitesimal sliding bendings of compact surfaces and Euler's conjecture
   
   Sibirsk. Mat. Zh., 64:5 (2023),  1065–1082
5. Bendable Surfaces without Visible Deformations of Their Shape
   
   Mat. Zametki, 110:1 (2021),  119–130
6. On metrics admitting a discontinuum set of non-congruent immersions in $\mathbb R^3$
   
   Sib. Èlektron. Mat. Izv., 18:2 (2021),  1023–1026
7. New proofs of infinitesimal rigidity of convex polyhedra and convex surfaces of revolution
   
   Sib. Èlektron. Mat. Izv., 18:2 (2021),  740–743
8. Locally Euclidean metrics and their isometric realizations
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 181 (2020),  102–111
9. Volume polynomials for polyhedra combinatorially isometric to $n$-prisms in the cases $n=5,6,7$
   
   Sib. Èlektron. Mat. Izv., 16 (2019),  439–448
10. On a problem in the bendings theory of negatively curved surfaces
    
    Sib. Èlektron. Mat. Izv., 15 (2018),  890–893
11. Volume polynomial for polyhedra of hexahedral type
    
    Sib. Èlektron. Mat. Izv., 14 (2017),  1078–1087
12. The Moscow Mathematical Society and metric geometry: from Peterson to contemporary research
    
    Tr. Mosk. Mat. Obs., 77:2 (2016),  184–218
13. Solutions of the trivial Monge–Ampèr equation with isolated singular points
    
    Sib. Èlektron. Mat. Izv., 13 (2016),  740–743
14. Isometric Embeddings in $\mathbb{R}^3$ of an Annulus with a Locally Euclidean Metric which Are Multivalued of Cylindrical Type
    
    Mat. Zametki, 98:3 (2015),  378–385
15. Smarandache Theorem in Hyperbolic Geometry
    
    Zh. Mat. Fiz. Anal. Geom., 10:2 (2014),  221–232
16. Isometric Embeddings of Locally Euclidean Metrics in $\mathbb R^3$ as Conical Surfaces
    
    Mat. Zametki, 95:2 (2014),  234–247
17. Second-order infinitesimal bendings of surfaces of revolution with flattening at the poles
    
    Mat. Sb., 205:12 (2014),  111–140
18. On a class of inflexible polyhedra
    
    Sibirsk. Mat. Zh., 55:5 (2014),  1175–1183
19. Hyperbolic Tetrahedron: Volume Calculation with Application to the Proof of the Schläfli Formula
    
    Model. Anal. Inform. Sist., 20:6 (2013),  149–161
20. On a method of volume calculation for bodies
    
    Sib. Èlektron. Mat. Izv., 10 (2013),  615–626
21. Infinitesimal and global rigidity and inflexibility of surfaces of revolution with flattening at the poles
    
    Mat. Sb., 204:10 (2013),  127–160
22. Markushevich's ill-posed boundary-value problem for multiply connected domains with circular boundaries
    
    Izv. RAN. Ser. Mat., 76:6 (2012),  153–192
23. Volume Polynomials for Some Polyhedra in Spaces of Constant Curvature
    
    Model. Anal. Inform. Sist., 19:6 (2012),  161–169
24. Isometric surfaces with a common mean curvature and the problem of Bonnet pairs
    
    Mat. Sb., 203:1 (2012),  115–158
25. Algebraic methods for solution of polyhedra
    
    Uspekhi Mat. Nauk, 66:3(399) (2011),  3–66
26. Решение циклических многоугольников
    
    Mat. Pros., Ser. 3, 14 (2010),  83–106
27. On the Extrinsic Curvature and the Extrinsic Structure of Normal Developable $C^1$ Surfaces
    
    Mat. Zametki, 87:6 (2010),  900–906
28. Approximation of plane curves by circular arcs
    
    Zh. Vychisl. Mat. Mat. Fiz., 50:8 (2010),  1347–1356
29. On the developable ruled surfaces of low smoothness
    
    Sibirsk. Mat. Zh., 50:5 (2009),  1163–1175
30. Locally Euclidean Metrics with a Given Geodesic Curvature of the Boundary
    
    Trudy Mat. Inst. Steklova, 266 (2009),  218–226
31. Isometric immersions and embeddings of a flat Möbius strip in Euclidean spaces
    
    Izv. RAN. Ser. Mat., 71:5 (2007),  197–224
32. A generalization of the Pogorelov–Stocker theorem on complete developable surfaces
    
    Fundam. Prikl. Mat., 12:1 (2006),  247–252
33. Bending of surfaces. III
    
    Fundam. Prikl. Mat., 12:1 (2006),  3–56
34. Some Applications of the Formula for the Volume of an Octahedron
    
    Mat. Zametki, 76:1 (2004),  27–43
35. Around the proof of the Legendre–Cauchy lemma on convex polygons
    
    Sibirsk. Mat. Zh., 45:4 (2004),  892–919
36. Algorithmic solution of the problem of isometric realization for two-dimensional polyhedral metrics
    
    Izv. RAN. Ser. Mat., 66:2 (2002),  159–172
37. On the notion of the combinatorial $p$-parametric property for polyhedra
    
    Sibirsk. Mat. Zh., 43:4 (2002),  823–839
38. Solutions of the equation $\Delta u=f(x,y)e^{cu}$ in some special cases
    
    Mat. Sb., 192:6 (2001),  89–104
39. Two-dimensional manifolds with metrics of revolution
    
    Mat. Sb., 191:10 (2000),  87–104
40. Isometric immersions and embeddings of locally Euclidean metrics in $\mathbb R^2$
    
    Izv. RAN. Ser. Mat., 63:6 (1999),  147–166
41. A canonical polynomial for the volume of a polyhedron
    
    Uspekhi Mat. Nauk, 54:2(326) (1999),  165–166
42. A generalized Heron–Tartaglia formula and some of its consequences
    
    Mat. Sb., 189:10 (1998),  105–134
43. Isometric transformations of a surface inducing conformal maps of the surface onto itself
    
    Mat. Sb., 189:1 (1998),  119–132
44. An integral analog of the Darboux equations for immersions of two-dimensional metrics
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1997, no. 9,  49–56
45. The volume of polyhedron as a function of its metric
    
    Fundam. Prikl. Mat., 2:4 (1996),  1235–1246
46. The polyhedron's volume as a function of length of its edges
    
    Fundam. Prikl. Mat., 2:1 (1996),  305–307
47. The volume of a polyhedron as a function of the lengths of its edges
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1996, no. 6,  89–91
48. Some remarks on the tubes of negative curvature
    
    Fundam. Prikl. Mat., 1:4 (1995),  1033–1043
49. Quasi-conformal mappings of a surface generated by its isometric transformation, and bendings of the surface onto itself
    
    Fundam. Prikl. Mat., 1:1 (1995),  281–288
50. Bending of surfaces. Part II
    
    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 8 (1995),  108–167
51. A minimal-degree polynomial for determining the volume of an octahedron from its metric
    
    Uspekhi Mat. Nauk, 50:5(305) (1995),  245–246
52. On the problem of invariance of the volume of a flexible polyhedron
    
    Uspekhi Mat. Nauk, 50:2(302) (1995),  223–224
53. A complete enumeration of centrally symmetric forms of two-dimensional metrics of constant curvature
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1994, no. 3,  65–68
54. On an algorithm for testing the bendability of a polyhedron
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1994, no. 2,  56–61
55. To the question of smoothness of isometries
    
    Sibirsk. Mat. Zh., 34:4 (1993),  169–176
56. Deformation of surfaces. I
    
    Itogi Nauki i Tekhniki. Ser. Probl. Geom., 23 (1991),  131–184
57. Local theory of the bendings of surfaces
    
    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 48 (1989),  196–270
58. Second-order infinitesimal bendings of surfaces of rotation with densification at a pole
    
    Mat. Zametki, 45:1 (1989),  28–35
59. Isometric immersions of the Lobachevskij plane in $E^4$
    
    Sibirsk. Mat. Zh., 30:5 (1989),  179–186
60. Investigation of the rigidity and inflexibility of analytic surfaces of revolution with flattening at the pole
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1986, no. 5,  29–36
61. Isometric embedding of locally Euclidean metrics in $\mathbf{R}^3$
    
    Sibirsk. Mat. Zh., 26:3 (1985),  156–167
62. Rectangular finite element smoothly adjusted with Bell’s triangle
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1985, no. 2,  74–75
63. Description of flexes of degenerate suspensions
    
    Mat. Zametki, 33:6 (1983),  901–914
64. Smoothness of a hypersurface of positive extrinsic curvature and its fundamental forms in conjugate-harmonic coordinates
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982, no. 6,  5–8
65. A scheme of successive approximations for immersions of two-dimensional metrics in $E^3$
    
    Sibirsk. Mat. Zh., 19:6 (1978),  1358–1380
66. Embedding two-dimensional metrics in $E^4$
    
    Mat. Zametki, 21:2 (1977),  137–140
67. Possible generalizations of the Minagawa–Rado Lemma on the rigidity of a surface of revolution with a fixed parallel
    
    Mat. Zametki, 19:1 (1976),  123–132
68. On infinitesimal bendings of troughs of revolution. II
    
    Mat. Sb. (N.S.), 99(141):1 (1976),  49–57
69. Connections between the order of smoothness of a surface and that of its metric
    
    Sibirsk. Mat. Zh., 17:4 (1976),  916–925
70. Regularity of convex domains with a metric that is regular on Hölder classes
    
    Sibirsk. Mat. Zh., 17:4 (1976),  907–915
71. On infinitesimal bendings of troughs of revolution. I
    
    Mat. Sb. (N.S.), 98(140):1(9) (1975),  113–129
72. The rigidity of “corrugated” surfaces of revolution
    
    Mat. Zametki, 14:4 (1973),  517–522
73. Formal solutions of the Hilbert problem for a ring
    
    Mat. Zametki, 12:2 (1972),  221–232
74. Minimal surfaces with certain boundary conditions
    
    Mat. Sb. (N.S.), 76(118):3 (1968),  368–389
75. A minimal surface as the rotation graph of a sphere
    
    Mat. Zametki, 2:6 (1967),  645–656
76. One condition for rigidity of composite surfaces
    
    Mat. Zametki, 2:1 (1967),  105–114
77. Certain results on infinitesimal deformations of surfaces “in the small” and “in the large”
    
    Dokl. Akad. Nauk SSSR, 162:6 (1965),  1256–1258
78. The local structure of Darboux surfaces
    
    Dokl. Akad. Nauk SSSR, 162:5 (1965),  1001–1004
79. A boundary-value problem with linear conjugation
    
    Mat. Sb. (N.S.), 64(106):2 (1964),  262–274
80. A general boundary-value problem for the linear conjugate on the circle
    
    Sibirsk. Mat. Zh., 5:1 (1964),  124–129
81. On the rigidity of certain surfaces of revolution
    
    Mat. Sb. (N.S.), 60(102):4 (1963),  506–519
82. Infinitesimal bendings of a convex surface with a generalized translation boundary condition
    
    Dokl. Akad. Nauk SSSR, 147:4 (1962),  793–796


83. Изгибания поверхностей и многогранников
    
    Mat. Pros., Ser. 3, 29 (2022),  117–145
84. Хорошо ли мы знаем векторное произведение?
    
    Mat. Pros., Ser. 3, 27 (2021),  80–98
85. Mikhail Ivanovich Shtogrin (on his 80th birthday)
    
    Uspekhi Mat. Nauk, 74:6(450) (2019),  194–197
86. Как быстро вычислить сумму углов многоугольника?
    
    Mat. Pros., Ser. 3, 22 (2018),  114–126
87. Nikolai Petrovich Dolbilin (on his 70th birthday)
    
    Uspekhi Mat. Nauk, 69:1(415) (2014),  187–188
88. To memory of Leonid Evgen'evich Evtushik (25.05.1931–16.02.2013)
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 5,  69–70
89. The seventieth birthday of Yurii Akhmetovich Aminov
    
    Zh. Mat. Fiz. Anal. Geom., 9:2 (2013),  267–272
90. Aleksei Vasil'evich Pogorelov (obituary)
    
    Uspekhi Mat. Nauk, 58:3(351) (2003),  173–175
91. In memory of Nikolai Vladimirovich Efimov (1910–1982)
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1986, no. 5,  3–4
92. To the memory of Nikolai Vladimirovich Efimov
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1984, no. 1,  94–97
93. Nikolai Vladimirovich Efimov (obituary)
    
    Uspekhi Mat. Nauk, 38:5(233) (1983),  111–117
94. Nikolai Vladimirovich Efimov (on his seventieth birthday)
    
    Uspekhi Mat. Nauk, 36:3(219) (1981),  233–238