Speciality:
01.01.04 (Geometry and topology)
Birth date:
21.12.1958
E-mail: Website: https://math.nsc.ru/~vaalex Keywords: flexible polyhedra,
rigid framework,
polytopes,
surfaces in Euclidean space,
global surface theory,
mechanisms,
kinematics,
Lobachevskij geometry.
Subject:
Convex and discrete geometry. The theory of flexible polyhedra.
Main publications:
Alexandrov, Victor, “The spectrum of the Laplacian in a domain bounded by a flexible polyhedron in $\mathbb{R}^d$ does not always remain unaltered during the flex”, Journal of Geometry, 111:2 (2020), Paper No. 32, 14 p.
Alexandrov, Victor, “Why there is no an existence theorem for a convex polytope with prescribed directions and perimeters of the faces?”, Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 88:1 (2018), 247-254
Alexandrov, Victor, “Minkowski-type and Alexandrov-type theorems for polyhedral herissons”, Geometriae Dedicata, 107 (2004), 169-186
Alexandrov, Victor, “Implicit function theorem for systems of polynomial equations with vanishing Jacobian and its application to flexible polyhedra and frameworks”, Monatshefte für Mathematik, 132:4 (2001), 269-288
Alexandrov, Victor, “An example of a flexible polyhedron with nonconstant volume in the spherical space”, Beiträge zur Algebra und Geometrie, 38:1 (1997), 11-18
