Geodesic
Convex Bodies with Sheafs of Elliptic Sections
Journal of convex analysis, Tome 13 (2006) no. 1, pp. 169-175
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A convex body in 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.
Classification : 52A20, 46C15
Mots-clés : Convex body, elliptic section, ellipsoid 
@article{JCA_2006_13_1_JCA_2006_13_1_a10,
     author = {J. Alonso and P. Mart{\'\i}n},
     title = {Convex {Bodies} with {Sheafs} of {Elliptic} {Sections}},
     journal = {Journal of convex analysis},
     pages = {169--175},
     year = {2006},
     volume = {13},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JCA_2006_13_1_JCA_2006_13_1_a10/}
}
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J. Alonso; P. Martín. Convex Bodies with Sheafs of Elliptic Sections. Journal of convex analysis, Tome 13 (2006) no. 1, pp. 169-175. http://geodesic.mathdoc.fr/item/JCA_2006_13_1_JCA_2006_13_1_a10/