论文标题
通过平面放牧的椭球表征
A characterization of the ellipsoid through planar grazes
论文作者
论文摘要
在本文中，我们证明了以下内容：\ emph {让$ k，l \ subset \ mathbb r^3 $为两个$ o $ -smmetric凸面，带有$ l \ subset \ emph \ emph {int} k $ strictly convex。假设从$ \ emph {bd} k $中的每一个$ x $中，Graze $σ（l，x）$是平面曲线，相对于$ L $，$ k $几乎是免费的。然后$ l $是椭圆形。}
In this paper we proved the following: \emph{Let $K, L\subset \mathbb R^3$ be two $O$-symmetric convex bodies with $L\subset \emph{int} K$ strictly convex. Suppose that from every $x$ in $\emph{bd} K$ the graze $Σ(L,x)$ is a planar curve and $K$ is almost free with respect to $L$. Then $L$ is an ellipsoid.}
