This article is cited in 4 papers

Convex solids with hyperplanar midsurfaces for restricted families of chords

Valeriu Soltan

George Mason University, Fairfax, Virginia, USA

Abstract: We provide new characteristic properties of convex quadrics in $\mathbb R^n$ in terms of hyperplanarity of midsurfaces of convex solids for restricted families of chords. These properties are based on various auxiliary characterizations of convex quadrics that involve hyperplane supports and plane quadric sections.

Keywords and phrases: convex, set, solid, surface, midsurface, quadric, plane, section.

MSC: 52A20

Received: 15.06.2011

Language: English

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