Geodesic
On Maximal $k$ -Sections and Related Common Transversals of Convex Bodies
Canadian mathematical bulletin, Tome 47 (2004) no. 2, pp. 246-256

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DOI

Generalizing results from $[\text{MM}1]$ referring to the intersection body $\text{IK}$ and the cross-section body $CK$ of a convex body $K\,\,\subset \,\,{{\mathbb{R}}^{d}}$ , $d\,\ge \,2$ , we prove theorems about maximal $k$ -sections of convex bodies, $k\,\in \,\{1,\,\ldots ,\,d\,-\,1\}$ , and, simultaneously, statements about common maximal $(d\,-\,1)-$ and 1-transversals of families of convex bodies.
DOI : 10.4153/CMB-2004-024-3
Mots-clés : 52A20, 55Mxx 
Jr., Endre Makai; Martini, Horst. On Maximal $k$ -Sections and Related Common Transversals of Convex Bodies. Canadian mathematical bulletin, Tome 47 (2004) no. 2, pp. 246-256. doi: 10.4153/CMB-2004-024-3
@article{10_4153_CMB_2004_024_3,
     author = {Jr., Endre Makai and Martini, Horst},
     title = {On {Maximal} $k$ {-Sections} and {Related} {Common} {Transversals} of {Convex} {Bodies}},
     journal = {Canadian mathematical bulletin},
     pages = {246--256},
     year = {2004},
     volume = {47},
     number = {2},
     doi = {10.4153/CMB-2004-024-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2004-024-3/}
}
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AU  - Martini, Horst
TI  - On Maximal $k$ -Sections and Related Common Transversals of Convex Bodies
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%J Canadian mathematical bulletin
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%R 10.4153/CMB-2004-024-3
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