论文标题
对称凸组的特征
Characterizations of symmetric convex sets
论文作者
论文摘要
在这项工作中,我们证明了一系列对称轴或在欧几里得空间中凸面$ k $的一系列对称性的序列,$ \ mathbb {e}^d,n \ geq 3 $,足以保证$ k $是$ k $的革命范围或旋转范围。
In this work we prove that either a sequence of axis of symmetry or a sequence of hyperplanes of symmetry of a convex body $K$ in the Euclidian space $\mathbb{E}^d, n\geq 3$, are enough to guarantee that $K$ is either a generalized body of revolution or a sphere.