论文标题
具有相当于等效的预测和革命仿真的凸体机构
Convex Bodies with affinely equivalent projections and affine bodies of revolution
论文作者
论文摘要
摘要在本文中，我们研究了革命的仿射体。这将使我们能够证明一个凸体的所有正交$ n $ projections是相当等效的，如果$ n \ equiv 0,1，2 $ mod $ 4 $，$ n $，$ n $，$ n $ n> 1 $，并可能免除$ n = 133美元。我们的证明使用凸的几何形状和紧凑型谎言组的拓扑结构。 AMS分类主题：22E10，52A05
Abstract In this paper, we study affine bodies of revolution. This will allow us to prove that a convex body all whose orthogonal $n$-projections are affinely equivalent is an ellipsoid, provided $n\equiv 0,1, 2$ mod $4$, $n>1$ with the possible exemption of $n=133$. Our proof uses convex geometry and topology of compact Lie groups. AMS classification subject: 22E10, 52A05
