论文标题
凸面及其部分的思考
Reflections of convex bodies and their sections
论文作者
论文摘要
本文的目的是研究凸体的反射。特别是，我们对可能扩展到整个身体的反射的正交反思感兴趣。因此，我们需要研究出现令人惊讶的结构的非球形椭圆形的情况（第2节）。这些结果使我们可以根据其反射对椭球的新表征，另一方面，证明与K. Bezdek引起的猜想深深相关的结果。
The purpose of this paper is to study the reflections of a convex body. In particular, we are interested in orthogonal reflections of its sections that can be extended to reflections of the whole body. For this reason, we need to study the case of a non-spherical ellipsoid, where a surprising structure arises (Section 2). These results allow us to give a new characterization of ellipsoids in terms of their reflections and, on the other hand, to prove a result deeply related to a conjecture due to K. Bezdek.
