Abstract

Generalizing certain characteristic properties of ellipsoids, we describe all convex hypersurfaces in the n-dimensional real space, possibly unbounded, whose polar sets and point-source shadow-boundaries satisfy planarity conditions.

Author information

Contact details are reproduced from the original publication and may be historical.

Valeriu Soltan

Department of Mathematical Sciences, George Mason University, 4400 University Drive, Fairfax, VA 22030, U.S.A.

vsoltan@gmu.edu

Keywords

  • Body
  • convex
  • ellipsoid
  • polar set
  • quadric hypersurface
  • shadow-boundary
  • solid

Mathematics Subject Classification

52A20

Suggested citation

V. Soltan. “Convex Surfaces with Planar Polar Sets and Point-Source Shadow-Boundaries.” Journal of Convex Analysis 24 (2017), No. 2, 645–660.

Copyright Banach Press 2017