A characterization of the ellipsoid through planar grazes
A characterization of the ellipsoid through planar grazes
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.}
Ivan Gonzalez Garcia、Jesus Jeronimo Castro、Diana Janett Verdusco Hernandez、Efren Morales Amaya
数学
Ivan Gonzalez Garcia,Jesus Jeronimo Castro,Diana Janett Verdusco Hernandez,Efren Morales Amaya.A characterization of the ellipsoid through planar grazes[EB/OL].(2025-08-22)[2025-09-05].https://arxiv.org/abs/2207.13294.点此复制
评论