发表机构
University of Agriculture in Krakow（克拉科夫农业大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文指出Cao-Wang关于中心仿射超曲面的分类定理中，退化情形下的额外假设可以去掉，从而加强原定理。
AI 中文摘要
Cao和Wang最近分类了一类局部强凸中心仿射超曲面，其非零Tchebychev向量场$T$满足：对每个$X\perp T$，有$K(T,X)=\alpha X$且$X(\alpha)=0$，同时$K(T,T)=\beta T$。在退化情形$\beta=2\alpha$中，他们的高维论证额外假设差张量$K$的$T^\perp$分量恒为零。我们证明这一额外假设是不必要的，且定理可以加强。
英文摘要
Cao and Wang recently classified a class of locally strongly convex centroaffine hypersurfaces whose non-vanishing Tchebychev vector field $T$ satisfies $K(T,X)=αX$ and $X(α)=0$ for every $X\perp T$, together with $K(T,T)=βT$. In the degenerate case $β=2α$, their higher-dimensional argument assumes in addition that the $T^\perp$-component of the difference tensor $K$ vanishes identically. We show that this extra assumption is unnecessary and the theorem can be strengthened.
