Abstract

A convex body in EdE^d 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.

Author information

Contact details are reproduced from the original publication and may be historical.

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

Keywords

  • Convex body
  • elliptic section
  • ellipsoid

Mathematics Subject Classification

52A20, 46C15

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Suggested citation

J. Alonso, P. Martín. “Convex Bodies with Sheafs of Elliptic Sections.” Journal of Convex Analysis 13 (2006), No. 1, 169–175. https://doi.org/10.68381/jca13011

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Published by Heldermann Verlag, 2006. Rights now held by Banach Press LLC.