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Flexible polyhedra in Minkowski 3-space. (English) Zbl 1028.52013
The author considers flexibility of polyhedra in a Minkowski 3-space, i.e., in a linear space consisting of all ordered triples \((x_1,x_2, x_3)\) endowed with the scalar product \((x,y)=x_1y_1 +x_2y_2-x_3y_3\). He confirms the existence of (non-immersed) flexible polyhedra in such a space, and that any of them preserves the (generalized) volume and the (total) mean curvature during a flex. His arguments are based on the notion of an angle in a Minkowski 2-space.

MSC:
52C25 Rigidity and flexibility of structures (aspects of discrete geometry)
51B20 Minkowski geometries in nonlinear incidence geometry
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