Liouville Foliation of Topological Billiards in the Minkowski Plane

被引：0
|
作者：
Karginova E.E. [1 ]
机构：
[1] Moscow State University, Moscow
来源：
Journal of Mathematical Sciences | 2021年 / 259卷 / 5期
关键词：
D O I：
10.1007/s10958-021-05652-4
中图分类号：
学科分类号：
摘要：
In the paper, we give the Liouville classification of five interesting cases of topological billiards glued from two flat billiards bounded by arcs of confocal quadrics in the Minkowski plane. For each billiard, we calculate the marked Fomenko–Zieschang molecule, in other words the invariant of an integrable Hamiltonian system that completely determines the type of its Liouville foliation. © 2021, Springer Science+Business Media, LLC, part of Springer Nature.
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页码：656 / 675
页数：19
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