Non-intersection bodies all of whose central sections are intersection bodies
泛函分析
2007-05-23 v1 度量几何
摘要
We construct symmetric convex bodies that are not intersection bodies, but all of their central hyperplane sections are intersection bodies. This result extends the studies by Weil in the case of zonoids and by Neyman in the case of subspaces of .
引用
@article{arxiv.math/0505277,
title = {Non-intersection bodies all of whose central sections are intersection bodies},
author = {M. Yaskina},
journal= {arXiv preprint arXiv:math/0505277},
year = {2007}
}
备注
10 pages