电邮这篇文章 If a Minkowski billiard is projective, then it is the standard billiard
- 作者: Glutsyuk A.A.1,2,3, Matveev V.S.4
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隶属关系:
- Higher School of Contemporary Mathematics, Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Region, Russia
- CNRS, UMR 5669 (UMPA, ENS de Lyon), Lyon, France
- National Research University Higher School of Economics, Moscow, Russia
- Institute of Mathematics, Friedrich Schiller University of Jena, Jena, Germany
- 期: 卷 216, 编号 5 (2025)
- 页面: 64-82
- 栏目: Articles
- URL: https://ogarev-online.ru/0368-8666/article/view/306705
- DOI: https://doi.org/10.4213/sm10182
- ID: 306705
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详细
In the recent paper [5] the first-named author proved that if a billiard in a convex domain in $\mathbb R^n$ is simultaneously projective and Minkowski, then it is the standard Euclidean billiard in an appropriate Euclidean structure. The proof was quite complicated and required high smoothness. Here we present a direct simple proof of this result which works in $C^1$-smoothness. In addition, we prove the semi-local and local versions of this result.
作者简介
Alexey Glutsyuk
Higher School of Contemporary Mathematics, Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Region, Russia; CNRS, UMR 5669 (UMPA, ENS de Lyon), Lyon, France; National Research University Higher School of Economics, Moscow, Russia
编辑信件的主要联系方式.
Email: aglutsyu@ens-lyon.fr
Doctor of physico-mathematical sciences, no status
Vladimir Matveev
Institute of Mathematics, Friedrich Schiller University of Jena, Jena, Germany
Email: vladimir.matveev@uni-jena.de
Candidate of physico-mathematical sciences, Professor
参考
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