4 citations · 4 across the 1 of their papers we have counts for
4 papers
Minkowski-type and Alexandrov-type theorems for polyhedral herissons
Victor Alexandrov
Classical H.Minkowski theorems on existence and uniqueness of convex polyhedra with prescribed directions and areas of faces as well as the well-known generalization of H.Minkowski…
Flexible polyhedra in the Minkowski 3-space
Victor Alexandrov
Given a polyhedral surface, assume that it is prohibited to change the shape and size of any face but it is permissible to change the dihedral angles between the faces. A polyhedra…
Implicit Function Theorem for systems of polynomial equations with vanishing Jacobian and its application to flexible polyhedra and frameworks
Victor Alexandrov
We study the existence problem for a local implicit function determined by a system of nonlinear algebraic equations in the particular case when the determinant of its Jacobian mat…
Higher dimensional flexible polyhedra
Victor Alexandrov
In the previous version of the paper it was announced that ``sphere homeomorphic flexible polyhedra (with self intersections) do really exist in n-dimensional Euclidean, Lobachevsk…