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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2011, Number 2, Pages 23–40 (Mi basm286)  
This article is cited in 4 scientific papers (total in 4 papers)

Convex solids with hyperplanar midsurfaces for restricted families of chords

Valeriu Soltan

George Mason University, Fairfax, Virginia, USA
Full-text PDF (197 kB) Citations (4)
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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.
Received: 15.06.2011
Bibliographic databases:
Document Type: Article
MSC: 52A20
Language: English
Citation: Valeriu Soltan, “Convex solids with hyperplanar midsurfaces for restricted families of chords”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2011, no. 2, 23–40
Citation in format AMSBIB
\Bibitem{Sol11}
\by Valeriu Soltan
\paper Convex solids with hyperplanar midsurfaces for restricted families of chords
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2011
\issue 2
\pages 23--40
\mathnet{http://mi.mathnet.ru/basm286}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2895775}
\zmath{https://zbmath.org/?q=an:1244.52008}
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  • https://www.mathnet.ru/eng/basm286
  • https://www.mathnet.ru/eng/basm/y2011/i2/p23
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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    Full-text PDF :57
    References:51
    First page:2
     
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