Geodesic
On the Minimal Convex Shell of a Convex Body
Canadian mathematical bulletin, Tome 36 (1993) no. 4, pp. 466-472

Voir la notice de l'article provenant de la source Cambridge University Press

For any convex body C in Rd we introduce the notion of the convex shell and we prove that there exists a unique "minimal" convex shell, extending the notion of the minimal spherical shell of C. Then we prove that a "typical" convex body touches the boundary of its minimal convex shell in precisely d + 2 points.
DOI : 10.4153/CMB-1993-062-x
Mots-clés : 52A20, 54E52, convex body, minimal convex shell, Baire category 
Peri, Carla. On the Minimal Convex Shell of a Convex Body. Canadian mathematical bulletin, Tome 36 (1993) no. 4, pp. 466-472. doi: 10.4153/CMB-1993-062-x
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