Journal of Convex Analysis 13 (2006), No. 1, 169--175
Copyright Heldermann Verlag 2006
Convex Bodies with Sheafs of Elliptic Sections
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 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.
Keywords: Convex body, elliptic section, ellipsoid.
MSC: 52A20, 46C15
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