Flexible polyhedra in Minkowski 3-space |
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Authors: | Victor Alexandrov |
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Affiliation: | (1) Sobolev Institute of Mathematics, Novosibirsk-90, 630090, Russia. e-mail: alex@math.nsc.ru, RU |
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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. Received: 16 August 2001 Published online: 19 May 2003 Mathematics Subject Classification (2000): 52C25, 51B20, 52B70, 52B11, 51M25 |
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