Convex bodies with many elliptic sections
Metric Geometry
2014-08-26 v1
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 -differentiable boundary of a convex body also essentially characterize an ellipsoid.
Keywords
Cite
@article{arxiv.1408.5647,
title = {Convex bodies with many elliptic sections},
author = {Isaac Arelio and Luis Montejano},
journal= {arXiv preprint arXiv:1408.5647},
year = {2014}
}