publication . Preprint . 2014

Convex bodies with many elliptic sections

Arelio, Isaac; Montejano, Luis;
Open Access English
  • Published: 24 Aug 2014
Abstract
{We show in this paper that two normal elliptic sections through every point of the boundary of a smooth convex body essentially characterize an ellipsoid and furthermore, that four different pairwise non-tangent elliptic sections through every point of the $C^2$-differentiable boundary of a convex body also essentially characterize an ellipsoid.
Subjects
free text keywords: Mathematics - Metric Geometry, 52A15, 53A04, 53A05
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