Minkowski-type and Alexandrov-type theorems for polyhedral herissons

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dc.creatorAlexandrov, Victor
dc.date2002-11-19
dc.date.accessioned2026-07-07T04:53:04Z
dc.date.available2026-07-07T04:53:04Z
dc.descriptionClassical 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.
dc.description19 pages, 8 figures, LaTeX 2.09
dc.identifierhttps://arxiv.org/abs/math/0211286
dc.identifierhttp://arxiv.org/abs/math/0211286
dc.identifierGeom. Dedicata 107, 169-186 (2004)
dc.identifierdoi:10.1007/s10711-004-4090-3
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65706
dc.subjectMetric Geometry
dc.subjectDifferential Geometry
dc.titleMinkowski-type and Alexandrov-type theorems for polyhedral herissons
dc.typetext

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