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Minkowski-type and Alexandrov-type theorems for polyhedral herissons

Victor Alexandrov
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Abstract

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 uniqueness theorem due to A.D.Alexandrov are extended to a class of nonconvex polyhedra which are called polyhedral herissons and may be described as polyhedra with injective spherical image.

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BibTeXRIS

Victor Alexandrov. 2002-11-19. Minkowski-type and Alexandrov-type theorems for polyhedral herissons. https://doi.org/10.1007/s10711-004-4090-3

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