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Journal of Convex Analysis 24 (2017), No. 2, 645--660
Copyright Heldermann Verlag 2017

Convex Surfaces with Planar Polar Sets and Point-Source Shadow-Boundaries

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

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.

Keywords: Body, convex, ellipsoid, polar set, quadric hypersurface, shadow-boundary, solid.

MSC: 52A20

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