Minkowski-type and Alexandrov-type theorems for polyhedral herissons
Metric Geometry
2007-05-23 v1 Differential Geometry
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.
Cite
@article{arxiv.math/0211286,
title = {Minkowski-type and Alexandrov-type theorems for polyhedral herissons},
author = {Victor Alexandrov},
journal= {arXiv preprint arXiv:math/0211286},
year = {2007}
}
Comments
19 pages, 8 figures, LaTeX 2.09