Generalizations of the shadow problem
Metric Geometry
2015-11-06 v1
Abstract
We received a solution of the shadow problem in n-dimensional Euclidean space for a family of sets, constructing from any convex domain having nonempty interior with the help of parallel translations and homotheties. We find a number of balls with centers on the sphere, sufficient for giving a shadow in n-dimensional complex (hypercomplex) space.
Keywords
Cite
@article{arxiv.1511.01784,
title = {Generalizations of the shadow problem},
author = {Yu. B. Zelinskii and M. V. Stefanchuk},
journal= {arXiv preprint arXiv:1511.01784},
year = {2015}
}