论曲面几何在凸台球中的作用
动力系统
2024-09-19 v3
摘要
本工作给出了二维黎曼流形上凸域中台球的框架。这些域包含于全正规的连通单连通开子集中。在此背景下，建立了平面上台球长期已知的一些基本性质。我们证明了扭转性质，并研究了台球存在与不存在旋转不变曲线的条件。
引用
@article{arxiv.2308.14856,
title = {On the role of the surface geometry in convex billiards},
author = {Mario Jorge Dias Carneiro and Sylvie Oliffson Kamphorst and Sonia Pinto-de-Carvalho and Cassio Henrique Vieira Morais},
journal= {arXiv preprint arXiv:2308.14856},
year = {2024}
}
备注
We changed the title, from "The Twist Property and the Existence of Invariant Curves for Convex Billiards on Surfaces" to "On the role of the surface geometry in convex billiards"