On compact sets with a certain affine invariant

被引：0

作者：

A. S. Voynov

机构：

[1] Moscow State University,

来源：

Mathematical Notes | 2011年 / 90卷

关键词：

compact set; symmetry; affine symmetry; convex body; ellipsoid; John ellipsoid; Lebesgue measure; second-order hypersurface;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We give a complete characterization of finite-dimensional compact sets with the following property: all of their images under affine operators are symmetric (that is, have symmetry planes of certain dimensions). We also study the noncompact case; namely, we reveal a class of unbounded closed sets with this property and conjecture that this class is complete.

引用

共 50 条

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