Journal of Convex Analysis 14 (2007), No. 1, 001--011
Copyright Heldermann Verlag 2007
Convex Bodies with Sheafs of Elliptic Sections II
Javier Alonso
Dept. of Mathematics, University of Extremadura, 06071 Badajoz, Spain
jalonso@unex.es
Pedro Martín
Dept. of Mathematics, University of Extremadura, 06071 Badajoz, Spain
pjimenez@unex.es
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.
Keywords: Convex body, elliptic section, ellipsoid.
MSC: 52A20, 46C15
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