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manuscripta mathematica

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

Flexible polyhedra in Minkowski 3-space

  • Victor Alexandrov

Abstract.

 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.

Keywords

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.

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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

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