Generalizations of the shadow problem

  • Yu. B. Zelinskii
  • M. V. Stefanchuk

Abstract

We solve the shadow problem in the n-dimensional Euclidean space $N^n$ for a family of sets obtained from any convex domain with nonempty interior with the help of parallel translations and homotheties. We determine the number of balls with centers on the sphere, sufficient for giving a shadow in the $n$-dimensional complex (hypercomplex) space.
Published
25.06.2016
How to Cite
ZelinskiiY. B., and StefanchukM. V. “Generalizations of the Shadow Problem”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 68, no. 6, June 2016, pp. 757-63, http://umj.imath.kiev.ua/index.php/umj/article/view/1876.
Section
Research articles