manuscripta mathematica

, Volume 111, Issue 3, pp 341–356 | Cite as

Flexible polyhedra in Minkowski 3-space

  • Victor Alexandrov


 We prove that (non-immersed) flexible polyhedra do exist in the Minkowski 3-space and each of them preserves the (generalized) volume and the (total) mean curvature during a flex. To prove the latter result, we introduce the notion of the angle between two arbitrary non-null nonzero vectors in the Minkowski plane.


Nonzero Vector Minkowski Plane Flexible Polyhedron 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Victor Alexandrov
    • 1
  1. 1.Sobolev Institute of Mathematics, Novosibirsk-90, 630090, Russia. e-mail: alex@math.nsc.ruRU

Personalised recommendations