CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCMB
Publications        
Abstract view

On Maximal $k$-Sections and Related Common Transversals of Convex Bodies

  Published:2004-06-01
 Printed: Jun 2004
  • Endre Makai Jr.
  • Horst Martini
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
Format:   HTML   LaTeX   MathJax   PDF   PostScript  

Abstract

Generalizing results from [MM1] referring to the intersection body $IK$ and the cross-section body $CK$ of a convex body $K \subset \sR^d, \, d \ge 2$, we prove theorems about maximal $k$-sections of convex bodies, $k \in \{1, \dots, d-1\}$, and, simultaneously, statements about common maximal $(d-1)$- and $1$-transversals of families of convex bodies.
MSC Classifications: 52A20, 55Mxx show english descriptions Convex sets in $n$ dimensions (including convex hypersurfaces) [See also 53A07, 53C45]
Classical topics {For the topology of Euclidean spaces and manifolds, see 57Nxx}
52A20 - Convex sets in $n$ dimensions (including convex hypersurfaces) [See also 53A07, 53C45]
55Mxx - Classical topics {For the topology of Euclidean spaces and manifolds, see 57Nxx}
 

© Canadian Mathematical Society, 2014 : http://www.cms.math.ca/