Geodesic
Convex Bodies with Sheafs of Elliptic Sections II
Journal of convex analysis, Tome 14 (2007) no. 1, pp. 1-11.

Voir la notice de l'article provenant de la source Heldermann Verlag

A convex subset D of Ed is an ellipsoid if all the sections given by hyperplanes are elliptic. We study whether we can restrict the hyperplanes to those that contain one of two fixed linear varieties. In a previous paper in this journal we considered the case where one of the varieties cuts the interior of D, and now we assume that the varieties support D.
Classification : 52A20, 46C15
Mots-clés : Convex body, elliptic section, ellipsoid 
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     title = {Convex {Bodies} with {Sheafs} of {Elliptic} {Sections} {II}},
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J. Alonso; P. Martín. Convex Bodies with Sheafs of Elliptic Sections II. Journal of convex analysis, Tome 14 (2007) no. 1, pp. 1-11. http://geodesic.mathdoc.fr/item/JCA_2007_14_1_JCA_2007_14_1_a0/