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Makeev Vladimir Vladimirovich

Publications in Math-Net.Ru

  1. Planar sections and projections of three-dimensional convex bodies

    Zap. Nauchn. Sem. POMI, 476 (2018),  131–133
  2. Equipartitioning of a convex body by a system of cones and inscribed polytopes

    Zap. Nauchn. Sem. POMI, 476 (2018),  125–130
  3. On inscribed and circumscribed polyhedra for a centrally symmetric convex body

    Zap. Nauchn. Sem. POMI, 415 (2013),  54–61
  4. On linear wavefronts of convex polyhedra

    Zap. Nauchn. Sem. POMI, 415 (2013),  51–53
  5. Triangular and quadrangular pyramids in a three-dimensional normed space

    Zap. Nauchn. Sem. POMI, 415 (2013),  42–50
  6. On affine diameters of a convex body

    Zap. Nauchn. Sem. POMI, 415 (2013),  39–41
  7. On lattice packings of mirror or centrally symmetric convex three-dimensional body

    Zap. Nauchn. Sem. POMI, 415 (2013),  29–38
  8. On the space of convex figures

    Zap. Nauchn. Sem. POMI, 415 (2013),  24–28
  9. Estimating the surface area of spheres in normed spaces

    Zap. Nauchn. Sem. POMI, 415 (2013),  21–23
  10. On polygons inscribed into a convex figure

    Zap. Nauchn. Sem. POMI, 415 (2013),  15–20
  11. On affine-regular cross-polyhedra inscribed in a convex body

    Zap. Nauchn. Sem. POMI, 372 (2009),  124–127
  12. On three-dimensional bodies of constant width

    Zap. Nauchn. Sem. POMI, 372 (2009),  119–123
  13. On measure of central symmetry for fields of convex figures and three-dimensional convex bodies

    Zap. Nauchn. Sem. POMI, 372 (2009),  108–118
  14. On parallelepipeds and centrally symmetric hexagonal prisms circumscribed about a three-dimensional centrally symmetric convex body

    Zap. Nauchn. Sem. POMI, 372 (2009),  103–107
  15. On polygons inscribed in a closed space curve

    Zap. Nauchn. Sem. POMI, 372 (2009),  97–102
  16. An extremal property of convex hexagons

    Zap. Nauchn. Sem. POMI, 372 (2009),  93–96
  17. An infinitesimal Rattray theorem

    Zap. Nauchn. Sem. POMI, 353 (2008),  148–149
  18. Properties of continuous functions on a normed space and its sphere

    Zap. Nauchn. Sem. POMI, 353 (2008),  139–147
  19. On pyramids in a three-dimensional normed space

    Zap. Nauchn. Sem. POMI, 353 (2008),  132–138
  20. Approximation of three-dimensional convex bodies by affine-regular prisms

    Zap. Nauchn. Sem. POMI, 353 (2008),  126–131
  21. Polygons inscribed in a closed curve and a three-dimensional convex body

    Zap. Nauchn. Sem. POMI, 353 (2008),  116–125
  22. Some extremal problems for vector bundles

    Algebra i Analiz, 19:2 (2007),  131–155
  23. Inscribed and circumscribed polyhedra for a convex body and continuous functions on a sphere in Euclidean space

    Algebra i Analiz, 18:6 (2006),  187–204
  24. On approximation of a 3-dimensional convex body by cylinders

    Algebra i Analiz, 17:2 (2005),  133–144
  25. Geometry of finite-dimensional normed spaces and continuous functions on the Euclidean sphere

    Zap. Nauchn. Sem. POMI, 329 (2005),  107–117
  26. Theorems on equipartition of a continuous mass distribution

    Zap. Nauchn. Sem. POMI, 329 (2005),  92–106
  27. Equilateral simplices in normed 4-space

    Zap. Nauchn. Sem. POMI, 329 (2005),  88–91
  28. Parallelepipeds circumscribed about a convex body in 3-space

    Zap. Nauchn. Sem. POMI, 329 (2005),  79–87
  29. Asphericity of shadows of a convex body

    Zap. Nauchn. Sem. POMI, 329 (2005),  67–78
  30. Estimating the diameter of the space of planar convex figures with respect to an affine-invariant metric

    Zap. Nauchn. Sem. POMI, 329 (2005),  58–66
  31. On approximation of two-dimensional sections of convex bodies by disks and ellipses

    Algebra i Analiz, 16:6 (2004),  162–171
  32. On some geometric properties of closed special curves and of convex bodies

    Algebra i Analiz, 16:5 (2004),  92–100
  33. On some geometric properties of convex bodies. II

    Algebra i Analiz, 15:6 (2003),  74–85
  34. On estimating from above the perimeter of an asymmetric unit disk in the Minkowski plane

    Zap. Nauchn. Sem. POMI, 299 (2003),  262–266
  35. On affine diameters and chords of convex compacta

    Zap. Nauchn. Sem. POMI, 299 (2003),  252–261
  36. On quadrangles inscribed in a closed curve and the vertices of the curve

    Zap. Nauchn. Sem. POMI, 299 (2003),  241–251
  37. On subdivision of a continuously distributed mass

    Zap. Nauchn. Sem. POMI, 299 (2003),  228–240
  38. On some combinatoric geometry problems for vector bundles

    Algebra i Analiz, 14:6 (2002),  169–191
  39. On some geometric properties of convex three-dimensional bodies

    Algebra i Analiz, 14:5 (2002),  96–109
  40. Three-dimensional polyhedra inscribed in and ascribed about compact convex sets. II

    Algebra i Analiz, 13:5 (2001),  110–133
  41. A kinematic formula for affine diameters and affine medians of a convex set

    Zap. Nauchn. Sem. POMI, 280 (2001),  234–238
  42. Planar sections of convex bodies and universal fibrations

    Zap. Nauchn. Sem. POMI, 280 (2001),  219–233
  43. On two nonsolved geometric problems

    Zap. Nauchn. Sem. POMI, 280 (2001),  211–218
  44. Equipartition of a mass continuously distributed on a sphere or in space

    Zap. Nauchn. Sem. POMI, 279 (2001),  187–196
  45. On inscribing a regular octahedron in a three-dimensional convex body with smooth boundary

    Zap. Nauchn. Sem. POMI, 279 (2001),  183–186
  46. Three-dimensional polytopes inscribed in and circumscribed about convex compacta

    Algebra i Analiz, 12:4 (2000),  1–15
  47. An extremal property of the Rellot triangle

    Zap. Nauchn. Sem. POMI, 267 (2000),  152–155
  48. On the geometry of two- and three-dimensional Minkowski spaces

    Zap. Nauchn. Sem. POMI, 267 (2000),  146–151
  49. On common sections with given properties for finite set of convex compacts

    Zap. Nauchn. Sem. POMI, 261 (1999),  198–203
  50. On one affine-invariant metric on the class of convex plane compacts

    Zap. Nauchn. Sem. POMI, 261 (1999),  194–197
  51. On sets with prescribed number of power invariants

    Zap. Nauchn. Sem. POMI, 261 (1999),  40–42
  52. Special configurations of planes associated with convex compact

    Zap. Nauchn. Sem. POMI, 252 (1998),  165–174
  53. Of affine images of a rhombododecaedron circumscribed about a convex body in $\mathbb R^3$

    Zap. Nauchn. Sem. POMI, 246 (1997),  191–195
  54. On pentagons incribed in closed convex curve

    Zap. Nauchn. Sem. POMI, 246 (1997),  184–190
  55. On approximation of the plane sections of convex bodies

    Zap. Nauchn. Sem. POMI, 246 (1997),  174–183
  56. Quadrangles inscribed in a closed curve

    Mat. Zametki, 57:1 (1995),  129–132
  57. Affine-inscribed and affine-circumscribed polygons and polytopes

    Zap. Nauchn. Sem. POMI, 231 (1995),  286–298
  58. Inscribed and circumscribed polyhedra of a convex body

    Mat. Zametki, 55:4 (1994),  128–130
  59. Solution of the Knaster problem for polynomials of second degree on a two-dimensional sphere

    Mat. Zametki, 53:1 (1993),  147–148
  60. Inscribed and circumscribed polyhedra of a convex body and related problems

    Mat. Zametki, 51:5 (1992),  67–71
  61. Extremal covers

    Mat. Zametki, 47:6 (1990),  62–66
  62. The Knaster problem and almost spherical sections

    Mat. Sb., 180:3 (1989),  424–431
  63. Knaster's problem on continuous mappings of a sphere into a Euclidean space

    Zap. Nauchn. Sem. LOMI, 167 (1988),  169–178
  64. Spatial generalizations of theorems on convex figures

    Mat. Zametki, 36:3 (1984),  405–415
  65. Dimension restrictions in problems of combinatorial geometry

    Sibirsk. Mat. Zh., 23:4 (1982),  197–201


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