Elementary approach to closed billiard trajectories in asymmetric normed spaces

Elementary approach to closed billiard trajectories in asymmetric normed spaces
复制标题

非对称赋范空间中闭合台球轨迹的基本方法

DOI：
--
复制
发表时间：
2014
期刊：
影响因子：
--
通讯作者：
Anastasia Sharipova
Anastasia Sharipova
中科院分区：
--
文献类型：
--
作者：
A. Akopyan;Alexey Balitskiy;R. Karasev;Anastasia Sharipova

文献摘要

被引文献

相似文献

我们应用 K'aroly Bezdek 和 Daniel Bezdek 的技术来研究凸体中的台球轨迹，其中长度是用（可能不对称的）范数测量的。我们证明了与非对称马勒问题相关的最短闭合台球轨迹长度的下界。通过这种技术，我们能够对一些已知结果提供简短而基本的证明。
We apply the technique of K'aroly Bezdek and Daniel Bezdek to study billiard trajectories in convex bodies, when the length is measured with a (possibly asymmetric) norm. We prove a lower bound for the length of the shortest closed billiard trajectory, related to the non-symmetric Mahler problem. With this technique we are able to give short and elementary proofs to some known results.